The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 3,000 miles. Find the probability the tread life of a particular brand of tire is: I. C) between 54,000 miles and 62,000 miles,

Q: The p-value… is used to determine the Margin Of Error measures the number of standard deviations…

A: p value is a probabilty  which indicates the decision about null hypothesis assuming true  so that…

Q: Costs for standard veterinary services at a local animal hospital follow a Normal distribution with…

A: GIVEN DATA normal distributionμ = 89σ = 23P(45<x<132) = ?

Q: Find the probability that a normally distributed random variable will fall within these ranges: 1.…

A:

Q: At an airline company, according to the records, the mean age of pilots is 36.2 years, and the…

A:

Q: Blood glucose levels are normally distributed with a mean of 85 mg/dl and a standard deviation of 25…

A: Answer: Given that:   ‘x’ is Normally distributed with                 Mean  µ =85       standard…

Q: The average speed of cars passing a checkpoint is 60 miles per hour with a standard deviation of 8…

A: From the provided information,n = 50

Q: If z is a standard normal variable, find the probability that z lies between -2.41 and 0.

A:

Q: A normal population has a mean of of 60 and standard deviation of 12. A random sample of 9 is…

A: Using normal distribution we find the given probability.

Q: The probability is 0.3 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver…

A: Probability, Sample size,

Q: The average hourly wage of employees of a certain company is $11.88. Assume the variable is normally…

A: The mean of the distribution is .The standard deviation of the distribution is .The population is…

Q: Let the random variable X represent the profit made by the new restaurant on a randomly selected…

A: Given information- Population mean, µ = $360 Population standard deviation, σ = $50 Let, X be the…

Q: The pulse rate of adults in a given population follows a normal distribution with a mean of 70 and a…

A: From the given information, it is clear that,  Population mean μ=70 Population variance σ2=20 Sample…

Q: Assume that women’s heights are normally distributed with a mean of 63.6 inches and a standard…

A:

Q: The average life of a brand of automobile tires is 30,000 miles, with standard deviation of 2,000…

A: Given: X~N(μ,σ)μ=30000σ=2000

Q: The distance travelled to work by the employees of PUP may be modelled by a normal distribution with…

A:

Q: At an airline company, according to the records, the mean age of pilots is 36.2 years, and the…

A:

Q: A normal population has a mean of of 60 and standard deviation of 12. A random sample of 9 is…

A: Given : Mean = μ = 60 Sample size = n = 9 Standard deviation = σ = 12

Q: The final exam grade distribution for all students in the introductory statistics class at a local…

A:

Q: For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg…

A:

Q: Assume that an individual's golf scores are normally distributed with a mean of 90.4 and a standard…

A:

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: Solution-: Given: μ=196,σ=22,n=50 Let, X= be the random variable We want to find P(the mean of…

Q: What is the probability of randomly selecting a z-score less than z = -0.25 from a normal…

A: Given that, Z score = -0.25 (Left tailed)

Q: Vehicle speeds at a highway location have a normal distribution with mean µ = 65 mph and standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The number of hours spent per week on household chores by all adults has a mean of 28 hours and a…

A:

Q: The weight of football players is normally distributed with a mean of 220 pounds and a standard…

A: The weight of football players is normally distributed with a mean of 220 pounds and a standard…

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean…

A:

Q: Aceume that an individual'e golf ecoree are normally dietributed with a mean of and a otandard…

A:

Q: Assume that an individual's golf scores are normally distributed with a mean of 90.4 and a standard…

A: Normal Distribution  u = 90.4 n = 5.3 p(87 < x < 95) = ?

Q: A normal population has a mean of of 60 and standard deviation of 12. A random sample of 9 is…

A: given ,  mean , μ =60 standard deviation , σ=12 sample size , n = 9

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!