Question

K uncfsu.instructure.com/courses/27463/modules/items/871525 > Modules > MathXL MathXL All Assignments 202030.STAT202.044 Tanerka Reader & | 07/30/20 2:17 Homework: Section 4.2 Score: 0.33 of 1 pt 7 of 7 (7 complete) HW Score: 85.71%, 6 of Question Help 4.2.21 28% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly tvo. (b) more than two and (c) between two and five inclusive. If convenient, use technology to find the probabilities a) P2) (Round to the nearest thousandth as needed Enter your answer in the answer box and then click Check Answer 2 cm

Answer 1

The number of students who say that they use the credit cards in their reward programs is modelled here as:

X ~ Bin(n = 10, p = 0.28

The probabilities here are computed as:

a) P(X = 2)

This is computed in EXCEL as:
=binom.dist(2,10,0.28,FALSE)

0.2548 is the output here.
Therefore 0.2548 is the required probability here.

b) The probability here is computed as:

P(X > 2) = 1 - P(X <= 2)

This is computed in EXCEL as:
=1-BINOM.DIST(2,10,0.28,true)

0.5622 is the output here.

Therefore 0.5622 is the required probability here.

c) The probability here is computed as:
P(2 <= X <= 5) = P(X <= 5) - P(X <= 2)

This is computed in EXCEL as:
=BINOM.DIST(5,10,0.28,TRUE)-BINOM.DIST(1,10,0.28,TRUE)

0.7828 is the output here.

Therefore 0.7828 is the required probability here.