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aleksley [76]
3 years ago
12

A noise level of a lawn tractor is approximately

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

Answer:

Step-by-step explanation:

Since the noise level of a lawn tractor is approximately

normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = the noise level

u = mean noise level

s = standard deviation

From the information given,

u = 100 decibels

s = 3 decibels.

We want to find the probability that a randomly selected lawn tractor will generate a noise level of

more than 105 decibels. It is expressed as

P(x > 105) = 1 - P(x ≤ 105)

For x = 105,

z = (105 - 100)/3 = 1.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.9525

P(x > 105) = 1 - 0.9525 = 0.0475

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