Assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Compute the following
probabilities. Be sure to draw a normal curve with the area corresponding to the probability shaded.
P(56 < X < 68)
B- find the value of za.
z 0.02
C-assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Find each indicated percentile for X.
The 90th percentile
D-the graph of a normal curve is given. Use the graph to identify the values of ? and ?.
1 answer:
Answer:
Step-by-step explanation:
Given that the random variable X is normally distributed, with
mean = 50 and standard deviation = 7.
Then we have z= 
Using this and normal table we find that
a) 
b) When z=0.02
we get

c) 90th percentile z value =1.645
90th percentile of X 
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