John charges his cell phone only when it is fully drained. The length of time, in hours, between charges of his cell phone is normally distributed with mean 31 and variance 64. Answer the following independent questions. Suppose that the cell phone lasted 48.84 hours since the most recent charge. z-score for this value Probability(Cell phone lasts at least 7.72 hours after the last recharge) Probability(Cell phone will last between 40.52 and 42.92 hours

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: 2. During my office hours (from 12pm to 6pm), an average of about 2 student per hour comes in for…

A: During my office hours (from 12 pm to 6 pm), an average of about 2 students per hour come in for…

Q: A test in statistics for decision making course was administered to 2500 MBA students. The test…

A: Let us assume X=the score Given that X follows a normal distribution with mean=42 and variance=576.…

Q: Melissa Johnson runs the mile for her track team. She has averaged a time of 5 minutes, 30 seconds…

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Q: Find f0.90f0.90 for FF distribution with (22,77) degrees of freedom.  f0.90=f0.90= (Round the…

A: Given that  df1 = 22 , df2 = 77  P(F > f) = 0.90

Q: The SAT and ACT college entrance exams are taken by thousands of students each year. The scores on…

A: (a) Obtain the percent of students would score less than 550 in a typical year. The percent of…

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

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Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…

A: We have to find probability that randomly selected person will produce more than 1000 pound wastwm

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: GivenMean(μ1)=4.0Mean(μ2)=4.0standard deviation(σ1)=2.5standard deviation(σ2)=2.5sample…

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

Q: use a ti84 device to solve. A quality control expert at Glotech computers wants to test their new…

A: Given: X~Nμ, σ The value of n is 121. The value of μ= 85 The value of σ is estimated as, σ = 49 = 7…

Q: The average time it takes a music producer to complete a recording of a pop song is 53.4 minutes.…

A: Let X be the random variable from normal distribution with mean (μ) = 53.4, variance (σ2) = 49 the…

Q: If the Variance of a data set is 16.01, what is the Standard Deviation? State your result as a…

A: Standard deviation is the square root of variance

Q: Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

A:

Q: 80% of beans seeds sprout. Three seeds were planted. Find the distribution of the variable X number…

A: Given : n = 3 P = 0.80 q = 1 - p     = 1 - 0.80 = 0.20

Q: On average, a banana will last 7 days from the time it is purchased in the store to the time it is…

A:

Q: A voin is tossed four times. Let x denote the number of heads. Find the mean and standard deviation…

A: A coin is tossed four times. The  denotes the number of heads.

Q: Provide all necessary computations and a properly labeled curve in asnwering the following. Sam…

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Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

A: It is an important part of statistics . It is widely used .

Q: The probability that it snows in a particular city on any given winter day is 13%. What is the…

A: The probability that it snows in a particular city on any given winter day is 13%.  The number of…

Q: A sniper hits a target 80% of the time. He fires five shots at the target. Find  A. Probability…

A: Given problem is binomial distribution Let X: No. of hits n=No. of shots at the target=5 p=prob. of…

Q: A major application of analytics in marketing is determining customer retention. Suppose that the…

A: Given, The customer leaving for another carrier from one month to the next is 0.07We have to find…

Q: On average, a banana will last 6 days from the time it is purchased in the store to the time it is…

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Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…

A: We have to find probability

Q: a. The capacity of the airport is 350. What is the probability will be inadequate in peak hours?…

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Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…

A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…

Q: The grades of a statistics midterm are normally distributed with a mean of 79 and a standard…

A: Normal distributionμ=79σ=3.5pgrade between74 and 80=?

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

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Q: The probabilities that a person is receiving a chat message 0, 1, 2, 3, 4, or 5 per day are the…

A: Let X be the random variable having probability distribution is,  X 0 1 2 3 4 5 P(x)  0.08 0.19…

Q: State the formula for Variance.

A: Equation that defines the population variance σ2=∑(X-μ)2N Here, σ2 is variance, (X-μ) is distances…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

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Q: Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival…

A: From the provided information, Mean (µ) = 2 hours and 2 minutes or 122 minutes Standard deviation…

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: Q6- Assume the probability that a maple tree at age 5 grows less than 140 cm is equal to 0.2. If the…

A: Given Data: Let X represent the height of the maple tree P(x<140)=0.2 σ=81=9