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put this solution on YOUR website!In a large university, 15% of the students are female. If a random sample of twenty students is selected,
a. what is the probability that the sample contains exactly four female students?:::20C4(0.15)^4(0.85)^16
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b. what is the probability that the sample will contain no female students?
:::::(0.85)^20
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c. what is the probability that the sample will contain exactly twenty female students?
::::::::::(0.15)^20
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d. what is the probability that the sample will contain more than nine female students?
Using a TI calculator I get: 1 - binomcdf(20,0.15,9)
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e. what is the probability that the sample will contain fewer than five female students?
Using TI calc I get: binomcdf(20,0.15,4)
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f. what is the expected number of female students?
::::: E(x) = np = 20*0.15 = 3
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Cheers,
Stan H.
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