29 of college students say they uses credit cards because of

29% of college students say they uses 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 probabilty that the number of college students who say they use credit cards because of the rewards program is

(A) exactly two, (B) more then two, and (C) between two and five inclusive . if convenient , use technology to find the probabilities

(A) P(2)= round to the nearest thousandth

(B) P(x > 2 )= round to the nearest thousandth

Note that the probability of x successes out of n trials is

P(n, x) = nCx p^x (1 - p)^(n - x)

where

n = number of trials =    10
p = the probability of a success =    0.29
x = the number of successes =    2

Thus, the probability is

P (    2   ) =    0.244385424 [ANSWER]

Note that P(more than x) = 1 - P(at most x).

Using a cumulative binomial distribution table or technology, matching

n = number of trials =    10
p = the probability of a success =    0.29
x = our critical value of successes =    2

Then the cumulative probability of P(at most x) from a table/technology is

P(at most   2   ) =    0.409898511

Thus, the probability of at least   3   successes is

P(more than   2   ) =    0.590101489 [answer]

Note that P(between x1 and x2) = P(at most x2) - P(at most x1 - 1)

Here,

x1 =    2
x2 =    5

Using a cumulative binomial distribution table or technology, matching

n = number of trials =    10
p = the probability of a success =    0.29

Then

P(at most    1   ) =    0.165513088
P(at most    5   ) =    0.959606837

Thus,

P(between x1 and x2) =    0.794093749   [answer]

29% of college students say they uses credit cards because of the rewards program. you randomly select 10 college students and ask each to name the reason he or

29 of college students say they uses credit cards because of

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