Kevin uses his mobile phone for X minutes each day. X is a random variable which may be modelled by a normal distribution. Given that 80% if X lie on a symmetrical interval of 17.7476 minutes and 38.2524 minutes. i) Determine the mean and standard deviation. ii) Hence, find the probability that on a particular day, Kevin uses his mobile phone between 10 and 20 minutes. iii) Find the probability that on 7 randomly selected days the mean time Kevin spends on his mobile phone is at least 30 minutes. iv) Hence, find the interval of X that on 7 randomly selected days Kevin spends on his mobile phone when the probability is 0.8

Q: About 77​% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: The probability that the sample proportion surviving for at least 3 years will be less than 72​% is,

Q: In a survey of a group of men, the heights in the 20, 29 age group were normally distributed with a…

A:

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

A: The known values are, μ=142,σ=13,n=49 The mean and standard deviation of sampling distribution of…

Q: If a female is randomly selected, find the probability that her pulse rate is between 69 beats per…

A:

Q: The life, in hours, of a battery produced by company A has a normal distribution with mean 20 and…

A: Introduction: Denote the random variable representing the life (hours) of a randomly selected…

Q: Assume that newborn girls have birth weights with a mean of 3022 grams and a standard deviation of…

A: μ=3022σ=716n=100

Q: A Run is a 5 kilometer race. The time taken for each runner to complete the race was recorded and…

A: A Run is a 5 kilometer race.Mean Time =28 MinutesStandard deviation =5 Minutes We have to find the…

Q: Suppose X is a normally distributed random variable with a mean of -39.7 and a standard deviation of…

A: Here we need to find the required probability.

Q: Suppose that the distribution of the scores of students in Statistics Assignment 1 is roughly…

A: GivenMean(μ)=85standard deviation(σ)=5sample size(n)=16

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

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: 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: The manager of a new coffee shop is collecting information for how often cars arrive at its…

A: Given information- We have given a Poisson distribution. We have given that the manager has counted…

Q: Ava's morning routine is normally distributed and independent. She has been tracking her time from…

A: Let X and Y are the first and second mornings. It is given that X and Y are independent and…

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 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: 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: 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: Suppose that the amount of time that students spend studying in the library in one sitting is…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A random sample of 64 is taken of the height of college students. This population has mean 68 inches…

A:

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

A: From the provided information, The probability that a randomly chosen student in a statistics class…

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: Assume females have pulse rates that are normally distributed with a mean of 72 beats per minute and…

A: Given that: Mean = 72 beats S. D. = 12.5 beats Sample size (n)  = 25 By using standard normal…

Q: 18 men will be tested for the discus throw. if Mu= 112ft and standard deviation= 13ft. find the…

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

Q: Suppose that the average number of hours a personal computer is used for entertainment is two hours…

A: GivenMean(μ)=2 hoursstandard deviation(σ)=0.5 hours

Q: Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2…

A:

Q: The maternity ward at a certain hospital in a certain country in Africa is one of the busiest in the…

A: Givenon average of 60 births per dayfor one hour=6024=2.5Let x be the number of births in an…

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: Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean…

A: Since the probability for the given variable (that is discrete in nature), i.e., the probability of…

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the…

A: Solution Give  Χ be the random variable representing the time it takes her to complete one review…

Q: A professor of statistics noticed that the marks in his course are normally distributed. He also…

A:

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

Q: be the random variable representing the mean time to complete the  10  reviews. Assume that the  10…

A:

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and…

A: Let us define X as the speed at which cars go on the freeway is normally distributed with mean 76…

Q: Suppose that a brand of lightbulb lasts on average 1690 hours with a standard deviation of 194…

A: Let X=  the life of a lightbulb Given that X follows a normal distribution with mean=1690 and…

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

A: Given: The probability that a randomly chosen student in a statistics class submits his/her homework…

Q: are two counters in a store, nj = 47 customers in the first line and n2 = 49 customers in the second…

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

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

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.