Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 X 90) is a. 0.3413 b. 0.1498 c. 0.5328 d. 0.1915

The answer is b.) 0.1498

Step-by-step explanation:

The normal distribution of a random variable, x, is said to have a mean, = 80 and a standard deviation,  = 10.

We have to find the probability of P(85 < x < 90) .

We first find the Z values which represent the x variable by using the formula Z = .

Thus   we can write

 P( 85 < x < 90)

= P( )

= P(0.5 < Z < 1)

= P(Z < 1)  - P(Z < 0.5).

When we are asked to probabilities between two values we can separate them into two probabilities and find their difference to give the answer as shown above.

From the Z - tables we can calculate P(Z < 0.5) = 0.6915 and P(Z < 1) = 0.8413

Therefore   P( 85 < x < 90) = 0.8413 - 0.6915 = 0.1498.

The answer is b.) 0.1498

i wish i could u

step-by-step explanation:

i wish i could u

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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