Because of bad weather, the number of days next week that the captain of a charter fishing boat can leave port is uncertain. The following probability distribution for the number of days that the boat is able to leave port per week was determined based on historical data when the weather was poor: The number of days the boat can leave port per week Probability 0 0.20 1 0.05 2 0.05 3 0.05 4 0.15 5 0.10 6 0.15 7 0.25 Based on the probability distribution, what is the expected number of days per week the captain can leave port. Group of answer choices 3.55 4.00 3.50 4.05 2.85

Answers

Answer 1

Answer:

The expected number of days per week the captain can leave port is 4.05.

Step-by-step explanation:

We are given the following distribution:

[tex]P(X = 0) = 0.2[/tex]

[tex]P(X = 1) = 0.05[/tex]

[tex]P(X = 2) = 0.05[/tex]

[tex]P(X = 3) = 0.05[/tex]

[tex]P(X = 4) = 0.15[/tex]

[tex]P(X = 5) = 0.1[/tex]

[tex]P(X = 6) = 0.15[/tex]

[tex]P(X = 7) = 0.25[/tex]

What is the expected number of days per week the captain can leave port.

We multiply each outcome by its probability. So

[tex]E = 0*0.2 + 1*0.05 + 2*0.05 + 3*0.05 + 4*0.15 + 5*0.1 + 6*0.15 + 7*0.25 = 4.05[/tex]

The expected number of days per week the captain can leave port is 4.05.


Related Questions

A parking lot costs $1300 a month to operate, and it spends $260 each
month for every car that parks there. The parking lot charges a monthly fee of
$450 to park a car. If n is the number of cars, which equation represents the
profit function of the parking lot?
A. p= 710n+ 1300
B. p = 710n- 1300
c. p= 190n - 1300
D. p= 190n + 1300
SUBMIT
A

Answers

Answer:

[tex]p = 190n - 1300[/tex]

Step-by-step explanation:

Given

[tex]Monthly = 1300[/tex]

[tex]Expenses = 260[/tex] per car

[tex]Charges = 450[/tex] per car

Required

Determine the profit

Let the number of cars be n. So:

Express on n cars is: 260n

Charges on n cars is 450n

The profit (p) is then represented as:

[tex]p = Charges - Expenses - Monthly\ Expenses[/tex]

[tex]p = 450n - 260n - 1300[/tex]

[tex]p = 190n - 1300[/tex]

Simplify.

4a(6) + 3a

24 a2 + 3 a
13 a
27 a
27 a2

Answers

Answer:

24a + 3a

27a

we didn't multiply a since it is addition so it can not be a²

please give brainiest

Answer:

27a

Step-by-step explanation:

Just distribute. First multiply 4 times 6 which would be 24a. 24a+3a would then be 27a ;)

which diagram shows 1 and 2 as vertical angles

Answers

there’s no photo attached

what is the answer to 3/4 x 5/6

Answers

Answer:

[tex] \frac{3}{4} \times \frac{5}{6} [/tex]

[tex] \frac{3 \times 5}{4 \times 6} [/tex]

[tex] \frac{15}{24} [/tex]

[tex] \frac{5}{8} [/tex]

Answer:

5/8

Step-by-step explanation:

Sorry for the messy handwriting.

Hope this helps! Have a great day!

What is the value of -4.4+ (5-2)(-6)?

Answers

Answer:

Step-by-step explanation:

-4.4 + (5-2)(-6) = -4.4 + (3)(-6) = -4.4 + (-18) = - 22.4

The answer is 22.4
Hope this helps

Which of the following is the solution to the equation 25(z + 4) = 125?

Answers

z=1 ..................

There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.

probability of two bananas
p( two bananas )​

Answers

                                                                                                                                                   

                                                                                                                       .hnsxasy543esx nuyAtre

Find the solutions for 6x^2 -7x-20=0

Answers

Answer:

x=5/2, x=-4/3

Step-by-step explanation:

Which of the following is a solution to the inequality below?

5 < q/19

Answers

Answer:

q = 114

Step-by-step explanation:

q/19 > 5

q > 19 * 5 = 95

==> q = 114 works

Answer:

rrerer

Step-by-step explanation:erewqwdqwdqd noo hlp me

find the measure lol​

Answers

The answer is 35 grados

What is the median of data set 32 25 25 32 32 10 -10 25 ​

Answers

Answer:

25

Step-by-step explanation:

middle most common

Answer:

Median is 25

Step-by-step explanation:

Step 1: Organize the data from lowest to highest

-10 10 25 25 25 32 32 32

Step 2: Find the middle number

The two middle numbers would be 25 and 25, so we would take their average which is 25 obviously.

Therefore, the median of the data set is 25

2
Solve for x. Round answer to the nearest tenth.
11
35
to

Answers

Answer:

x ≈ 18.3°

Step-by-step explanation:

Reference angle = x

Opposite side = 11

Hypotenuse = 35

Apply SOH:

Sin x = opp/hyp

Sin x = 11/35

[tex] x = sin^{-1}(\frac{11}{35}) [/tex]

x ≈ 18.3°

6 in
5 in
14 in
Area =

Answers

Answer:

184

Step-by-step explanation:

2*(6*5+6*14+5*14)=184

i needa big mac frfr brrrrrrrr

Answers

Answer:

ok

Step-by-step explanation:

Answer:

suppersize my fries...

pls answer i have a ton of homework

Answers

Answer:

ewqvrdvfgbt2nbvcx

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

A + A =2,A + B =3,A + B × 2 =??..only for geniuses​

Answers

Answer: 5

Step-by-step explanation:

Milo and Audrey sold tickets to the school concert. Milo sold 14 fewer tickets than Audrey. If Milo sold 32 tickets, how many tickets did Audrey sell?​

Answers

Answer:

18

Step-by-step explanation:

32-14=18

18 is the answer I think it is

Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.

Answers

What is the apply??? Put all of the select all that apply so I can help you

9
On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with
the same unit rate?
А
с
101
9
10
9
8
7
7
6
5
4
b
6.
5
4
3
2
3
2
1
0
30
60
90 120 150
30
60 90 120 156
B
D
10T
9
8
10
9
6
5

Answers

Answer:

I believe the answer is C

We need a rock garden with a perimeter of 12 feet and an area of 8 square feet


Length: Feet
Width: Feet​

Answers

Answer:

Length: 4 feet

Width: 2 feet

Step-by-step explanation:

The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1

However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.

The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8

It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12

So, the length is 4 feet and the width is 2 feet

The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,
0, x < 800 oC
F(x) = 0.05x - 40, 800 oC< or is equal to x < 820 oC
1, x > 820 oC
Determine the following.
A) P(X< 810.0).
B) P(800 C) P(X> 808.40).
D) If the specifications for the process require that the furnace temperature be between 805.60 and 808.40oC, what is the probability that the furnace will operate outside of the specifications?

Answers

Answer:

[tex]P(x<810)=0.5[/tex]

[tex]P(x<800) = 0[/tex]

[tex]P(x>808.40) = 0.58[/tex]

[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]

Step-by-step explanation:

Given:

[tex]F(x) = \left\{\begin{array}{ll}{0} &; {x&lt;800^{\circ} \mathrm{C}} \\ {0.05 x-40} &; {800^{\circ} \mathrm{C} \leq x&lt;820^{\circ} \mathrm{C}} \\ {1} &; {x&gt;820^{\circ} \mathrm{C}}\end{array}[/tex]

Solving (a): P(x < 810)

To solve this, we make use of:

[tex]P(x<810) = F(x) = 0.05x - 40[/tex]

Because

[tex]800^\circ C \le 810 \le 820^\circ C[/tex]

So:

[tex]F(x) = 0.05 * 810 -40[/tex]

[tex]F(x) = 40.5 -40[/tex]

[tex]F(x) = 0.5[/tex]

Hence:

[tex]P(x<810)=0.5[/tex]

Solving (b): P(x < 800)

To solve this, we make use of:

[tex]P(x<800) = F(x) = x[/tex]

Because:

[tex]x < 800^\circ C[/tex]

So:

[tex]P(x<800) = 0[/tex]

Solving (c): P(x > 808.40)

Here, we make use of complement rule:

[tex]P(x>808.40) = 1 - P(x \le 808.40)[/tex]

Where:

[tex]P(x\le808.40) = 0.05x - 40[/tex]

[tex]P(x\le808.40) = 0.05*808.40 - 40[/tex]

[tex]P(x\le808.40) = 0.42[/tex]

So:

[tex]P(x>808.40) = 1 - 0.42[/tex]

[tex]P(x>808.40) = 0.58[/tex]

Solving (d) The probability that the temperature lies outside 805.60 and 808.40

First, we calculate the probability that it lies within.

This is represented as:

[tex]P(805.40 < x < 808.40)[/tex]

This is calculated using:

[tex]P(805.40 < x < 808.40) = F(808.40) - F(805.40)[/tex]

[tex]P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)[/tex]

[tex]P(805.40 < x < 808.40) = 0.42 - (0.27)[/tex]

[tex]P(805.40 < x < 808.40) = 0.42 - 0.27[/tex]

[tex]P(805.40 < x < 808.40) = 0.15[/tex]

Using complement rule, the required probability is:

[tex]P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15[/tex]

[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]

Help plz....................

Answers

Answer:

x = 136°

y = 44°

Step-by-step explanation:

x + 44° = 180° (Adjacent angles of a parallelogram)

x = 180° - 44°

x = 136°

y = 44° (Opposite angles of a parallelogram)

The measures of two angles of a triangle are 22 and 85 degrees. Find the measure of the third angle.

Answers

Answer: [tex]73^{\circ}[/tex]

Step-by-step explanation:

Angles in a triangle add to 180 degrees.

A Monte Carlo experiment is a statistical analysis that uses repetitive random sampling to solve a problem.

a. True
b. False

Answers

Answer:

True

Step-by-step explanation:

In the Monte Carlo simulations process, the probability of outcomes is determined on the basis of repeated sampling for the outcomes in a process which can not be determined easily due to several random variables involved in the process. This techniques helps in determining the risk, uncertainty in prediction and forecasting models.

What is the surface area of a cube with a side length of 5? Please answer ASAP, I’m marking brainliest!!!!!

Answers

The answer for this is 5x5=25 25x6=150

Answer:

150

Step-by-step explanation:

5x5=25

25 is the surface area of one of the sides.

25x6=150

150 is the surface area of the whole cube

5x10 but showing your work

Answers

Answer: 50

Step-by-step explanation: 5 times 10 means that there is going to be 5 10’s added together, so 10+10 = 20 + 10 + 10 = 40 + 10 = 50 so 5 times 10 is 50

What is 79.2 divided by 2.55

Answers

79.2 / 2.55 = 31.0588

A recipe uses 3 eggs to make 2 dozen cookies. There are 12 cookies in 1 dozen. How many eggs are used to make 6 dozen cookies? A.3 B.6 C.9 D.12 please help it would mean a lot <3

Answers

Answer:

C.9

Step-by-step explanation:

2 doz =3eggs

4 doz = 6 eggs

6 doz = 9 eggs

4) Let a represent "x is a multiple of 3".
Let b represent "x is odd".
When x is 36, which of the following is true?

Answers

Step-by-step explanation:

When x=36, only the first statement is true (x is a multiple of 3). this is because 12×3= 36

36 is not odd, making the other statement false

^^^^this is correct

Given: 1 yard = 3 feet
yards = 4 feet

Answers

Answer:

12

Step-by-step explanation:

4 times 3 = 12

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