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Let X Be A Random Variable That Follows The Normal Distribution With Mean 33 And Variance 10. Answer The Following, Rounding Your Answers To two decimal places(a) What is the probability that X is greater than 39, P (X>39)?(b) What is P (34

Respuesta :

The probability that X is greater than 39, P (X>39) is 0.03.

Define probability.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given,

Mean = 33

Variance = 10

Standard deviation = 3.16

Z score,

= x - mean/standard deviation

= 39 - 33/3.16

= 1.89

P value from Z table,

P( x< 39) = 0.9712

P( x > 39) = 1 - P(x <39)

P( x > 39) = 1 - 0.9712

P(x > 39) = 0.0288

The probability that X is greater than 39, P (X>39) is 0.03.

To learn more about probability, visit:

https://brainly.com/question/11234923

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