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Natalka [10]
3 years ago
15

Find the standard deviation, _, for the binomial distribution which has the stated values of n and p. n=38; p=2/5

Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer:

Solution: given that

n = 38

p = 2/5 = 0.4 q = 1-p = 1-0.4 = 0.6

standard deviation = sqrt(n*p*q)

sqrt(38*0.4*0.6) = 3.0199

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In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the
andrew-mc [135]

Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

braniest

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3 years ago
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Answer: 4

Step-by-step explanation:

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3 years ago
-9 - 3x4 pls show work
alina1380 [7]

Answer:

3

Step-by-step explanation:

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8 0
3 years ago
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Adam is using an ATM to make a withdrawal. The ATM is affiliated with a different bank than the bank where Adam has his checking
alexira [117]
Adam will most likely have to pay for ATM usage fees.

ATM usage fees refers to the payment one makes when using an ATM machine especially if the bank card inserted is affiliated with another bank.

<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.</span>

6 0
3 years ago
Read 2 more answers
A recipe calls for 3/4 of a cup of flour to make 5/8 of a pound of bread
schepotkina [342]

Answer:

\huge\boxed{\sf 1 \ pound \ of \ dough = 1\frac{1}{5}  \ cup \ of \ flour}

Step-by-step explanation:

\displaystyle \underline{Given \ that:}\\\\\frac{5}{8} \ pound \ of \ dough = \frac{3}{4} \ cup\ of \ flour\\\\Multiply \ 8 \ to \ both \ sides\\\\5 \ pounds \ of \ dough = \frac{3}{4} \times 8 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 3 \times 2 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 6 \ cups \ of \ flour\\\\Divide \ both \ sides \ by \ 5\\\\1 \ pound \ of \ dough = \frac{6}{5}  \ cup \ of \ flour\\\\\boxed{1 \ pound \ of \ dough = 1\frac{1}{5}  \ cup \ of \ flour}\\\\

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
8 0
2 years ago
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