About 81% of Hartnell students plan to vote this November.

permaneceerc

permaneceerc

Answered question

2021-09-17

About 81% of Hartnell students plan to vote this November. A random sample of n=35 students is selected. What is the probability exactly 29 say they will vote this November?

Answer & Explanation

oppturf

oppturf

Skilled2021-09-18Added 94 answers

Step 1
Let x be the number of Hartnell students plan to vote this November which follows binomial distribution with sample size 35 and probability of success 0.81.
The binomial probability distribution is,
P(X=x)=(beg{array}{c}nxend{array})(p)x(1p)nx
In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success.
Step 2
The probability exactly 29 say they will vote this November is,
P(X=29)=(beg{array}{c}3529end{array})(0.81)29(10.81)3529
=1623160×0.00221853123×0.000047045881
=0.1694
Thus, the probability exactly 29 say they will vote this November is 0.1694.

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