Question

Suppose 40% of all college students have a computer at home and a sample of 100 is taken. what is the probability that more than 50 of those in the sample have a computer at home?

Answer 1

To calculate the probability that more than 50 out of 100 students in a sample have a computer at home, we can use the binomial distribution. We need to find the probability of exactly 50 students having a computer and then calculate the probabilities for 51, 52, ..., 100 students having a computer. Finally, we can sum up all these probabilities to find the probability that more than 50 students have a computer at home.

Step-by-step explanation:

To calculate the probability that more than 50 out of 100 students in a sample have a computer at home, we can use the binomial distribution. In this case, the probability of success (a student having a computer) is 0.4, and the number of trials is 100.

First, we need to find the probability of exactly 50 students having a computer. This can be calculated using the binomial probability formula as:

P(X = 50) = C(100, 50) * (0.4)^50 * (0.6)^50

Where C(100, 50) is the number of combinations of 100 objects taken 50 at a time.

Next, we need to find the probabilities of 51, 52, 53, ..., 100 students having a computer. We can calculate these probabilities in a similar manner. Finally, we can sum up all these probabilities to find the probability that more than 50 students have a computer at home.

Answer 2

unlikely roughtly 40% have computers you cant make up for that other 10 percent