Question

The following is a table of probabilties calculated from a survey of BHCC students with the questionasked "How many classes are you taking this semester?"X: # of classes 1 2 3 4 5P(x) 0.19 0.28 0.15 0.31 0.07Using the table, find the following probabilities for a student selected at random:a.) What is the probability that a student is taking 2 or more classes?b.) What is the probability that a student is taking at least 3 classes?c.) What is the probability that a student is taking more than 3 classes?d.) What is the probability that a student is taking less than 2 classes?e.) What is the probability that a student is taking no more than 2 clases?f.) What is the average (mean) amount of classes a student takes at BHCC?g.) What is the standard deviation for the amount of classes a student takes at BHCC?(round to twodecimal places)

Answer 1

Case: Probabilities

Given: Probabilty of obtaining events (1, 2, 3, 4, or 5 classes)

Required: To find:

the following probabilities for a student selected at random:

a.) What is the probability that a student is taking 2 or more classes?

b.) What is the probability that a student is taking at least 3 classes?

c.) What is the probability that a student is taking more than 3 classes?

d.) What is the probability that a student is taking less than 2 classes?

e.) What is the probability that a student is taking no more than 2 clases?

f.) What is the average (mean) amount of classes a student takes at BHCC?

g.) What is the standard deviation for the amount of classes a student takes at BHCC?

Final answer:

a) Pr(taking 2 or more classes) = 0.28+ 0.15+ 0.31+ 0.07 gives 0.81

b) Pr (taking at least 3 classes) = 0.15+ 0.31+ 0.07 gives 0.53

c) Pr (taking more than 3 classes) = 0.31+ 0.07 gives 0.38

d) Pr (taking less than 2 classes) = 0.19

e) Pr (taking no more than 2 classes) = 0.19 + 0.28 gives 0.47

f) Average

`\begin{gathered} (1(0.19)+2(0.28)+3(0.15)+4(0.31)+5(0.07))/(1) \\ \text{Average = 2.79} \end{gathered}`

g) Standard deviation