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PtichkaEL [24]
4 years ago
14

Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p

robability. Be sure to draw a normal curve with the area corresponding to the probability shaded. Upper P (Upper X greater than 34 )

Mathematics
1 answer:
defon4 years ago
4 0

Answer:

P(X>34) = 0.9889

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 7

We are given that the distribution of random variable X is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X greater than 34)

P( X > 34) = P( z > \displaystyle\frac{34 - 50}{7}) = P(z > -2.2857)

= 1 - P(z \leq -2.2857)

Calculation the value from standard normal z table, we have,  

P(X>34) = 1 - 0.0111= 0.9889= 98.89\%

The attached image shows the normal curve.

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