A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the variable ? = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 15.0 gallons and standard deviation 0.1 gallon. What is the probability that a randomly selected tank will hold at most 14.8 gallons? What is the probability that a randomly selected tank will hold between 14.7 and 15.1 gallons? If two such tanks are independently selected, what is the probability that both hold at most 15 gallons?

Q: A particular fruit's weights are normally distributed, with a mean of 483 grams and a standard…

A: Given, Mean, μ = 483 standard deviation, σ=17  We have , Z = x-μσ

Q: Medical research has concluded that people experience a common cold roughly two times per year.…

A: The mean of the normal distribution, The standard deviation of the distribution,

Q: A particular fruit's weights are normally distributed, with a mean of 768 grams and a standard…

A: Given, let X be the weight of fruits. The mean weight of the fruit’s is  The standard deviation of…

Q: 3. A certain type of rope has an average breaking strength of 1,200 pounds. If the standard…

A: Let X be the random variable from normal distribution with average (μ) = 1200 and standard deviation…

Q: A particular fruit's weights are normally distributed, with a mean of 783 grams and a standard…

A: It is given that the mean is 783 and the standard deviation is 24.

Q: The weight of trucks traveling on a particular section of I-475 has a population mean of 15.8 tons…

A: Central limit theorem: The central limit theorem implies that the distribution of the sample means…

Q: A particular fruit's weights are normally distributed, with a mean of 445 grams and a standard…

A:

Q: A sample of 235 students was taken for an exploratory study. Each member of a random 35 of these…

A: Since the sample size is sufficiently large, and the population standard deviation is known, the…

Q: A particular fruit's weights are normally distributed, with a mean of 614 grams and a standard…

A: The random variable X follows normal distribution. The population mean is 614. The population…

Q: A particular fruit's weights are normally distributed, with a mean of 571 grams and a standard…

A: The random variable is fruit’s weight. It follows standard normal distribution. The population mean…

Q: A particular fruit's weights are normally distributed, with a mean of 582 grams and a standard…

A: Obtain the standard z-score for the random variable X equals 548. The standard z-score for the…

Q: A particular fruit's weights are normally distributed, with a mean of 636 grams and a standard…

A:

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the…

A: Given Data: μ=4σ=0.9n=10

Q: A particular fruit's weights are normally distributed, with a mean of 557 grams and a standard…

A: From the given information, let X be the fruit’s weights. Here, X follows normally distribution with…

Q: A particular fruit's weights are normally distributed, with a mean of 583 grams and a standard…

A: Mean = 583 Standard deviation = 35 Sample size = 18

Q: A particular fruit's weights are normally distributed, with a mean of 392 grams and a standard…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 359 grams and a standard…

A: Here the given information is A particular fruit's weights are normally distributed, with a mean of…

Q: A small jet can carry up to 43 passengers and 3 crew members. There is a weight restriction of 9200…

A:

Q: particular fruit's weights are normally distributed, with a mean of 466 grams and a standard…

A: P(443<X<528)=?

Q: A particular fruit's weights are normally distributed, with a mean of 477 grams and a standard…

A: Mean u = 477grams Standard deviation o = 14 grams P(477 < x < 491) = ?

Q: Suppose you have a distribution, X, with mean = 15 and standard deviation = 6. Define a new random…

A: It is given that  Mean of X, E(X) = 15 Standard deviation of X, SD(X) = 6 Variance of X, Var(X) = 62…

Q: A researcher wishes to estimate the average height of men for a certain region of the country. If…

A: Probability is the measure determine the likelihood of an event. Event is the outcome of an…

Q: A company is considering drilling four oil wells. The probability of success for each well is 0.45,…

A: Solution: Let X be the number of success in  drilling  oil wells.  The probability of  success for…

Q: A detergent company finds that a family in the country washes an average of 910 kilograms of clothes…

A: We have given that,  Let X be the random variable from normal distribution with mean (x̄) = 910 and…

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

A: We are given,μ = 196σ = 22n = 60

Q: A particular fruit's weights are normally distributed, with a mean of 432 grams and a standard…

A: A particular fruit's weights are normally distributed, with a mean of 432 grams and a standard…

Q: If the population mean weight is increased to 100.15 lb, what is the probabilitythat the sample mean…

A: As per given by the question, what is the probability that the sample mean of weight of a sample of…

Q: A detergent company finds that a family in the country washes an average of 910 kilograms of clothes…

A: Given that: X is normal Distributed with mean µ = 910.0 and standard deviation σ = 85.0 By using…

Q: A particular fruit's weights are normally distributed, with a mean of 575 grams and a standard…

A: R command has utilized to find the probability.

Q: A particular fruit's weights are normally distributed, with a mean of 216 grams and a standard…

A: From the provided information,

Q: A particular fruit's weights are normally distributed, with a mean of 448 grams and a standard…

A:

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the…

A: a) Define a random variable X, that is the time to review.

Q: A particular fruit's weights are normally distributed, with a mean of 366 grams and a standard…

A: Given information: A particular fruit's weights are normally distributed, with a mean of 366 grams…

Q: A particular fruit's weights are normally distributed, with a mean of 452 grams and a standard…

A: Given: μ = 452 σ = 24 Thus, X ~ N(μ = 452, σ = 24) The probability that a randomly selected fruit…

Q: 3. 100 students measure the height of a building (in metres). If the height is L, assume each…

A: The probability that the average of the 100 measurements is wrong by more than 0.5m is obtained…

Q: . The level of blood glucose and diabetes in adults are related. Let X be a random variable measured…

A:

Q: Suppose that heights of women at UT Tyler are normally distributed with a mean of 64 inches and a…

A: It is given that the mean is 64 and standard deviation is 2.4.

Q: Suppose that the ages of all MIT students are normally distributed with mean 24.01 yrs and s.d. 5.31…

A: Given,mean(μ)=24.01standard deviation(σ)=5.31

Q: A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34.…

A: Note: As it is not logical that “the probability that x falls within + or -2 milligrams per…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.