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A transmission is designed to last 16 years, with a standard deviation of 1.2 years. What is the probability that a transmission will last less than 14 years?

5%
20%
30%
35%

Respuesta :

absor201

The probability that a transmission will last less than 14 years is 5%

Step-by-step explanation:

Given

Mean = 16 years

SD = 1.2 years

We have to find the probability that a transmission will last less than 14 years

First of all we have to find the z-score of the value

Z-score is given by:

[tex]z = \frac{Value-mean}{SD}\\= \frac{14-16}{1.2}\\= \frac{-2}{1.2}\\= -1.6666[/tex]

We will use the z-score table to find the probability of being less than 14

So,

From z-score table we get the value for -1.6666

P(z = -1.666) = 0.04846

Converting into percentage

= 0.04846* 100

= 4.846

Rounding off to nearest percentage

5%

Hence,

The probability that a transmission will last less than 14 years is 5%

Keywords: Probability, z-score

Learn more about probability at:

  • brainly.com/question/8358304
  • brainly.com/question/8301701

#LearnwithBrainly

Answer:

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