SOLUTION: 38% of college students say they use credit cards because of the reward program. you randomly select 10 college students and ask each the reason he or she uses credit cards. Find t
Algebra.Com
Question 939754: 38% of college students say they use credit cards because of the reward program. you randomly select 10 college students and ask each the reason he or she uses credit cards. Find the probabilty that the number of college students who say they use credit cards because of rewards program is (a) exactly two (b) more than two (c) between two and five inclusive
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!
Given:
a n=10 step Bernoulli experiment (exactly two possible outcomes).
probability is constant at p=38%.
each step of the experiment is independent of the other.
Under the given conditions, the problem can be solved using the binomial distribution:
P(X=r)=
where
r is the number of successes (use credit card because of reward).
n = 10, number of students interviewed in the experiments
p = 0.38, probability of success
C(n,r) = combination of r objects out of n
(a) exactly 2 successes (out of ten)
P(X=2) =
Answer: probability of exactly 2 successes is
(b) more than 2 successes (i.e. 3 to 10)
It is easier to calculate 1-(P(X=0)+P(X=1)+P(X=2) which gives the same answer.
P(X=0) =
P(X=1) =
P(X=2) =
P(X>2) = 1-(P(X=0)+P(X=1)+P(X=2) = =
Answer: probability of greater than 2 successes is 0.2017
(c) between two and five
P(X=2) =
P(X=3) =
P(X=4) =
P(X=5) =
P(2<= X <= 5) = P(X=2)+P(X=3)+P(X=4)+P(x=5)=
=
Answer: probability of between 2 to 5 successes is 0.8054
RELATED QUESTIONS
26% of college students say they use credit cards because of the rewards program. You... (answered by Boreal)
33 % of college students say they use credit cards because of the rewards program. You... (answered by Boreal)
27% of college students say they use credit cards because of the rewards program. You... (answered by ikleyn)
21% of college students say they use credit cards because of the rewards program. You... (answered by Theo)
36% of college students say they use credit card because of the rewards program . You... (answered by Theo)
29% of college students say they use credit cards because of the rewards programs. You... (answered by stanbon)
A researched wants to study the attitudes of college students towards credit cards. She... (answered by CPhill)
Claim: The majority of college students have credit cards. Write the correct symbolic... (answered by robertb)
I am not sure how to begin to solve this intermediate calculation.
According to a... (answered by Boreal)