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the following problem are to be done in excel using the BINOM.DIST command. show

ID: 3339417 • Letter: T

Question

the following problem are to be done in excel using the BINOM.DIST command. show both command (without = sign ) and the answer to 5 decimal places

at a certain university the probability that an entering freshman will graduate in 4 years is .62. If in the incoming class of 2016 there were 1050 entering freshmen, determine the flowing probabilities

a) exactly 673 will graduate in 4 years

b) at most 690 will graduate in 4 years

c) 650 or more will graduate in 4 years

d) between 680 and 720 (inclusive) will graduate in 4 years

show both BINOM.DIST command (without = sign) and the answer

Explanation / Answer

p is 0.62 and N is 1050

a) P(x=673) will be BINOM.DIST(673,1050,0.62,FALSE) which gives 0.00958 ( we use FALSE because we are interested in finding point probability and not cummulative probability)

b) P(x<=690) will be BINOM.DIST(690,1050,0.62,TRUE) which is 0.9942355

c) P(x>=650) or 1-P(x<=649) will be 1-BINOM.DIST(649,1050,0.62,TRUE) =0.538987

d) P(680<=x<=720)= P(z<=720)-P(z<=680)= BINOM.DIST(720,1050,0.62,TRUE)-BINOM.DIST(680,1050,0.62,TRUE) =0.02988