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gtnhenbr [62]
3 years ago
12

The final scores of students in a graduate course are distributed normally with a mean of 72 and a standard deviation of 5. What

is the probability that a student's score will be between 65 and 78?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0

Answer:

0.8041

Step-by-step explanation:

We know that  

μ=72  and  σ=5

and P(65<X<78)

We can determine the Z value as (X-μ)/σ

P( 65<X<78 )=P( 65-72< X-μ<78-72)

P((65-72)/5

P(65

To fine the Z values:

P (-1.4

From the standard normal tables:

P (Z

to find P ( Z<-1.4)

P ( Z

From the standard normal tables:

P ( Z

Therefore

P(-1.4

P (65

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