Question

A tire manufacturer estimates that their tires last, an average of 40,000 miles, with a standard deviation of 5000. What is the probability that a randomly chosen tire from this manufacturer lasts between 30,000 miles and 50,000 miles? (Give your answer as a decimal rounded to 4 decimal places.) check Reference Answer: 2. The daily high temperature on October 31 in a certain city is normally distributed with 50 and 0 8. What is the probability that the high temperature on October 31 in a randomly chosen year will be between 46 degrees and 58 degrees? (Give your answer as a decimal rounded to 4 decimal places.)

Answer 1

Answer:

0.9554,0.8188

Step-by-step explanation:

Given that a tire manufacturer estimates that their tires last, an average of 40,000 miles, with a standard deviation of 5000.

X - duration of tires is N(40000,5000)

Or Z = $\frac{x-40000}{5000}$ is N(0,1)

the probability that a randomly chosen tire from this manufacturer lasts between 30,000 miles and 50,000 miles

=$P(30000$

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2) Given that the daily high temperature on October 31 in a certain city is normally distributed with 50 and 8

Y - daily high temp on Oct 31 is N(50,8)

Or Z = $\frac{x-50}{8}$ is N(0,1)

the probability that a randomly chosen tire from this manufacturer lasts between 46 degrees and 58 degrees

=$P(46$