Question

A survey of high schools offering honors classes to ninth graders reveals that 38% of the high schools offer no honors classes, 12% offer one honors class, 25% offer two honors classes, 20% offer three honors classes, and 5% offer four honors classes.
A high school is selected at random. What is the probability that it offers an even number of honors classes?
0.62
0.30
0.68
0.32

Answer 1

Using the discrete distribution, it is found that the probability that it offers an even number of honors classes is of 0.68.

What is the discrete probability distribution?

The distribution for the number of honors classes the school offers is given by:

• P(X = 0) = 0.38

• P(X = 1) = 0.12.

• P(X = 2) = 0.25.

• P(X = 3) = 0.2.

• P(X = 4) = 0.05.

Hence the probability of an even number is given by:

P(even) = P(X = 0) + P(X = 2) + P(X = 4) = 0.38 + 0.25 + 0.05 = 0.68.

More can be learned about discrete probability distributions at brainly.com/question/24802582

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