Question13. At a university, the probability that an incoming freshman will graduate within four years is 0.553 . What is the probability that at least 60 out of a group of 100 incoming freshman will graduate in four years?

Studdy Solution
Use the standard normal distribution table to find $P(Z \geq 0.845)$.
$$P(Z \geq 0.845) = 1 - P(Z \leq 0.845)$$
Using the standard normal distribution table, $P(Z \leq 0.845) \approx 0.8008$.
Thus,
$$P(Z \geq 0.845) = 1 - 0.8008 = 0.1992$$
The probability that at least 60 out of a group of 100 incoming freshmen will graduate in four years is approximately:
$$\boxed{0.1992}$$