The probability of giving birth to a boy is 1/2. What is the probability that a family with 5 children will have at least 2 boys? a)about 81.3%b)about 76.9%c)about 62.5%d)about 90.3%

Answer:0.78Step-by-step explanation:"The probability that a family with 5 children will have at least 2 boys" is equivalent to the complement 1 - P(family will have 1 or 0 boys).We can use a calculator with statistical functions built in to calculate this probability.  The function needed is for binomial probability:  binom(n, p, x).P(family will have 1 or 0 boys) = binomcdf(5, 0.5, {0, 1} ) produces two results:  one the probab. of having 0 boys and one the probab. of having 1 boy:  0.03125 and 0.1875.  We add these together, obtaining 0.21875.Then we subtract this result from 1 to obtain The probability that a family with 5 children will have at least 2 boys:  1 - 0.21875 = 0.78125, which may be reasonably rounded off to 0.78.