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VikaD [51]
3 years ago
15

The probability that Sandra gets a ride to work on any morning is 0.7. The probability that she gets a ride 3 times in a 5-day w

ork week is __, and the probability that she gets a ride at least 2 times in a 5-day workweek is __.
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer: The probability that she gets a ride 3 times in a 5-day work week is <u>0.31</u>.

The probability that she gets a ride at least 2 times in a 5-day workweek is <u>0.97</u>.

Step-by-step explanation:

By binomial distribution formula:

P[X=r]=^nC_rp^rq^{n-r} , where n is the number of trials , r is the number of success, p is the probability of success and q is the probability of failure.

Given : n=5

p = 0.7

q= 1-0.7=0.3

Now, the probability that she gets a ride 3 times in a 5-day work week :

P[X=3]=^5C_3(0.7)^3(0.3)^{5-3}\\\\=10(0.7)^3(0.3)^2=0.3087\approx0.31

The probability that she gets a ride at least 2 times in a 5-day workweek :

P[X\geq2]=1-P[X

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