O The random variable X has a binomial distribution B(11, p). If P(X = 8) = P(X = 7) find the value of p.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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O The random variable X has a binomial distribution B(11, p).
If P(X = 8) = P(X = 7) find the value of p.
O 100 families each with three children are found to have the
following number of boys.
Number of boys
1
3
Frequency
13
34
40
13
a. Find the probability that a single baby born is a boy.
b. Calculate the number of families with three children you would
expect to have two boys in a sample of 100 using your value
from (a).
Transcribed Image Text:O The random variable X has a binomial distribution B(11, p). If P(X = 8) = P(X = 7) find the value of p. O 100 families each with three children are found to have the following number of boys. Number of boys 1 3 Frequency 13 34 40 13 a. Find the probability that a single baby born is a boy. b. Calculate the number of families with three children you would expect to have two boys in a sample of 100 using your value from (a).
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