ven a random variable having the normal distribution, with mean 16 and variance 1.5625, find the probability that it will take values between 13.6 and 18.8 and also the the probability that it will take values less than 14.9 with mean 16 and variance 1.562

Q: Suppose the annual rainfall in the Southern California (in inches) is normally distributed with mean…

A: The mean is 10 and the variance is 25. The standard deviation is √variance=√25=5.

Q: A motorcar industry research study found that the tyre lifespan for economic sedan cars is normally…

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given information- Population mean, μ = 1.8 pounds Population standard deviation, σ = 1.02 pounds We…

Q: Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail. An insurance…

A: a)   Suppose μ is the population mean percentage of wheat crop lost to hail.

Q: A test score in the top 2% is required. The test is designed to have a mean of 100 and a std dev. of…

A: It is given that the test is normally distributed with mean 100 and standard deviation is 15. The…

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: GivenMean(μ)=1.8standard deviation(σ)=0.95sample size(n)=50

Q: The likelihood that a light bulb is defective is 5%, on a particular production line. Twelve light…

A: Answer: Using the given data, Let X denotes the number of defective light bulbs The probability of a…

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: Xi : length of the ith nail. Given that Xi ~ N(5,0.512) So, sample mean, X ~ N(5,0.512/114)

Q: A manager from a certain well known department store found out the money their customers carry into…

A: From the given information,   Mean = 258 Standard deviation = 35

Q: The times that college students spend studying per week have a distribution that is skewed to the…

A: Mean μ=8.9   σ=2.4sample size n=45   (greater than 30)Assuming n/N ≤0.05By central limit…

Q: A petroleum engineer estimated the chances of drilling a dry well to be around 50% , and chances of…

A: The probability distribution of the amount of oil and the associated probability of drilling is as…

Q: a. The mean number of checks written per day is ​(Round to three decimal places as​ needed.)   b.…

A: From given data we have : Last year, a person wrote 129 checks. 1 year = 365 days

Q: The results of a statistics examination follow an approximate normal distribution with a mean of 68…

A:

Q: Suppose the GPAs of all VVC students have an approximately normal distribution with a mean of 2.98…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: A certain company breaks down their metal and distributes them as pellets to their customers. Their…

A: Let- sample size is given to be 2. To find- Now, by properties of sampling-

Q: If the number of dust particles in a square meter on a surface follows a Poisson distribution with a…

A:

Q: Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail. An insurance…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: What value is the probability that the mean of nine randomly selected individuals from a normally…

A: Sampling distribution of the sample mean x¯ ~ N(μx¯ , σx¯)

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: We have to find out given probability..

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: In a health club, research shows that on average, patrons spend an average of 46.2 minutes on the…

A:

Q: Suppose a random variable, x, arises from a binomial experiment. Suppose n = 8 and p = 0.62 (Must…

A: Given data, n=8 p=0.62

Q: IUSS pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8…

A: We have given that  X~N( μ , ?^2 )   Z-score =( x - μ )/?

Q: f the 20th and 60th percentiles of a normal random variables are -4.3 and 15.8, respectively. What…

A:

Q: in 2004, an environmental research group studied the performance of truss and frame structures…

A:

Q: Given a normal population with mean = 39 and variance = 16, what is the probability of obtaining an…

A:

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A:

Q: Find the 42 -th percentile for the standard normal random variable Z

A: Solution Using standard normal table , P(Z < z) = 42% P(Z < z) = 0.42

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A:

Q: he number of times a customer uses an atm has an unknown distribution with mean = 7 and variance =…

A: The probability of observing a sample mean between 6.4 and 6.8 = 0.2184

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A: Given that mean =1.85,s.d =1.02,n=55,x bar =1.88

Q: Suppose that the distribution of the lifetime of a car battery produced by a certain car company is…

A: The mean of the normal distribution is  hours. The variance of standard deviation is The number of…

Q: A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing…

A: The probability of the sample mean would be greater than 101.5 gallons is 0.9382 and it is obtained…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: normal distribution μ = 145σ = 27.5n = 39P(140<X¯<191) = ?

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given information- Population mean, μ = 148 lb Population standard deviation, σ = 30.8 lb Sample…

Q: What is the probability that a randomly selected student will drink less than the suggested amount…

A:

Q: a physical fitness association is including the mile run in its secondary school test. the time for…

A: Suppose, X be the time for the event for girls in secondary school (in seconds). Given that X…

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.847.84 and…

A:

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

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: A given age group's average height is 53 inches, with a standard variation of 4 inches. Determine…

A:

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.