15) A human gene carries a certain disease from the mother to the child with a probability rate of40%. That is, there is a 40% chance that the child becomes infected with the disease. Suppose afemale carrier of the gene has four children. Assume that the infections of the four children areindependent of one another. Find the probability that all four of the children get the disease fromtheir mother. Round to the nearest thousandth.A) 0.974B) 0.086C) 0.026D) 0.13Provide an appropriate response.16) Consider the discrete probability distribution to the right when answering the following question. 16)Find the probability that x equals 4.4 79X 3P(x) 0.1 ? 0.240.29A) 0.63B) 0.37xP(x)0 0.491 0.05C) 2.5217) The random variable x represents the number of computers that families have along with thecorresponding probabilities. Find the mean and standard deviation for the random variable x.2 0.323 0.074 0.07A) mean: 1.18; standard deviation: 1.30C) mean: 1.39; standard deviation: 0.80D) 1.48B) mean: 1.18; standard deviation: 0.64D) mean: 1.39; standard deviation: 0.6418) If p is the probability of success of a binomial experiment, then the probability of failure isA) 1 - PB)C) -D) -p19) Assume that male and female births are equally likely and that the birth of any child does notaffect the probability of the gender of any other children. Find the probability of exactly threegirls in ten births.A) 15.000B) 0.117C) 0.03D) 0.317)20) The probability that an individual has 20-20 vision is 0.15. In a class of 60 students, what is themean and standard deviation of the number with 20-20 vision in the class?A) mean: 9; standard deviation: 2.765,863,34B) mean: 60; standard deviation: 3C) mean: 60; standard deviation: 2.765,863,34D) mean: 9; standard deviation: 315)18)19)

as per guideline expert have to answer first question only. Q-15) P(infected with disease) = p = 0.40 they have 4 children independent events so, P(Infected) = p = 0.40 constant P( all four children get the disease) = ? P(all four get disease) = p4 = (0.40)4 = 0.0256 answer : (C) 0.026