In an all boys school, the heights of the student body are normally distributed with a mean of 68 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student will be taller than 72 inches tall, to the nearest thousandth?

Respuesta :

Answer: 0%?

Step-by-step explanation: there isn't much to this problem because if it had a deviation of 3 from 68, it could be 7 digits from 65 to 71, but since 72 is out of the range, i can only say that this answer is not very correct if it has answer choices other than 0.

The probability is 0.160

What is probability?

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

mean (μ) = 68 inches

Standard Deviation (σ) = 3

We know,

Z = [tex]\frac{x - mean}{standard deviation}[/tex]

From the normal distribution bell curve, we can see that the percentage of students taller than 72 inches = 14% + 2%

                                                  = 16%

The probability that a randomly selected student will be taller than 72 inches = 16/100

           = 4/25

           = 0.16

           = 16%

Hence, we can conclude, that the probability that a randomly selected student will be taller than 72 inches is 0.160

Learn more about probability here:

https://brainly.com/question/11234923

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