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77julia77 [94]
3 years ago
6

X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is less than

9.7 is:_________
a. 0.0069
b. 0.000
c. 0.4931
d. 0.9931
Mathematics
1 answer:
Alenkinab [10]3 years ago
3 0

Answer:

0.0069

Step-by-step explanation:

According to the Question,

  • Given That, X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is less than 9.7

We have, μ=22 , σ= 5 , P(X<9.7)=Area to the left of 9.7.

Z = (x-μ)/σ

Z = (9.7-22) / 5 ⇒ -2.46

Thus,

  • P(X<9.7)=P(Z < -2.46) ⇒ 0.0069 (From z-table)
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