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beks73 [17]
3 years ago
7

if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is

exactly 2
Mathematics
1 answer:
dlinn [17]3 years ago
5 0
P(success) = 0.4   P(failure) = 0.6

8C2 (0.4)² * (0.6)^6

P(2 success) =0.290
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Thuy rolls a number cube 7 times. which expression represents the probability of rolling a 4 exactly 2 times?
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The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.

The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
 5^5 is the number of 5-digits numbers composed of digits 1,2,3,5 and 6 so that digits can repeat.
7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.

Finally, the probability is P=5^5(7!-6!/2)/7^7
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2 years ago
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strojnjashka [21]

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