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sat scores in one state is normally distributed with a mean of 1595 and a standard deviation of 80. suppose we randomly pick 33 sat scores from that state. a) find the probability that one of the scores in the sample is less than 1585. p ( x < 1585 ) p(x<1585)

Respuesta :

The probability that one of the scores in the sample is less than 1585 is 4.9%

Given that,

Given that mean u = 1585

standard deviation σ = 80

sample size n = 33

Probability means is the ability to happen. The subject of this area of mathematics is the occurrence of random events.The value is expressed in the range of 0 to 1. Probability has been brought to mathematics to predict the likelihood of events. Probability is essentially defined as the degree to which something is likely to occur.

P(x<1585) = P(X-u/σ < 1585-1595/80)

                 = P (X-u/σ  < -0.125)

P(x<1585) = 0.45026

P(x>1585) = 1 - P(x<1585) = 0.54974

P(1585<x<1595) = 0.5 - P(x<1585) = 0.049738

So, The probability that one of the scores in the sample is less than 1585 is 4.9%

To learn more about Probability click here:

brainly.com/question/11234923

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