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sleet_krkn [62]
3 years ago
15

In a certain​ state, 50​% of adults indicated that sausage is their favorite pizza. Suppose a simple random sample of adults in

the state of size 23 is obtained and the number of adults who indicated that sausage is their favorite pizza was 17. What are values of the parameters​ n, p, and x in the binomial probability​ experiment?
Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

n = 23

x = 17

p = 0.50

Step-by-step explanation:

For a binomial experiment we have the following variables:

<u>1) Number of trials or Sample size:</u>

The number of trials is represented by n. In the given scenario 23 adults were asked about their favorite pizza, so the number of trials in this will be 23. Thus

n = 23

<u>2) Number of success</u>

The number of success is denoted by x. Number of success indicates that how many trials resulted in the favorable outcome. In the given case, choosing a sausage pizza is a success. Since 17 adults chose the sausage, so

x = 17

<u>3) Probability of success on single trial</u>

This is represented by p. It is stated that 50% adults say sausage is their favorite pizza. So,

p = 50% = 0.50

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Answer:

a) 3/64 = 0.046 (4.6%)

b) 63/64 = 0.9843 (98.43%)

c) 1/64 = 0.015 (1.5%)

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Step-by-step explanation:

in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then

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∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1

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b) P(X ≤ 2) = ∑f(x) =  f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) +  3/64 = 63/64 = 0.9843 (98.43%)

c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)

d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)

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3 years ago
The Reunion Tower is one of the most recognizable landmarks in Dallas, Texas due to the giant sphere that sits atop the structur
ValentinkaMS [17]
The volume of a sphere uses the following formula:

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Because the question asks to use 3.14 in place of pi, the formula will now look like this:

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Although our result is one cubic foot off, the answer is <span>A. 859,852ft^3.

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Answer:

113 is correct because 49 divided by 3 is 16.33. 16.33 multiplied by 7 is 113

Step-by-step explanation:

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