On the planet of Mercury, 4-year-olds average 3.1 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.7 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible. a.  What is the distribution of X? X ~ N(,) b.  Find the probability that the child spends less than 3.3 hours per day unsupervised.  c.  What percent of the children spend over 4.5 hours per day unsupervised. % (Round to 2 decimal places)

Q: A particular fruit's weights are normally distri grams. The heaviest 14% of fruits weigh more than…

A: Given: Mean, μ=448 Standard deviation, σ=21 Using standard normal table: P (Z>z)=14%1-P…

Q: A particular fruit's weights are normally distributed, with a mean of 527 grams and a standard…

A: Given Mean=527 Standard deviations=5

Q: A particular fruit's weights are normally distributed, with a mean of 678 grams and a standard…

A: Let X denote the fruit's weights. Given that X follows N(mean = 678, SD = 8), then Z = (X - mean)/SD…

Q: A particular fruit's weights are normally distributed, with a mean of 252 grams and a standard…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 736 grams and a standard…

A: Given,   Mean = 736 Standard deviation = 10

Q: The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.1…

A: Let us denote X=the ages of the winners of a cycling tournament. Given that X is approximately…

Q: A particular fruit's weights are normally distributed, with a mean of 292 grams and a standard…

A: Given mean = 292 grams standard deviation = 32 grams.

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

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 particular fruit's weights are normally distributed, with a mean of 486 grams and a standard…

A:

Q: minutes. What percentage of his commutes will be between 13 and 26 minutes, to the nearest tenth?

A: Let X be the random variable that amount of time to arrive. Given that, X~N(μ=23,σ=5)

Q: A particular fruit's weights are normally distributed, with a mean of 516 grams and a standard…

A:

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 645 grams and a standard…

A: Let X denote the  fruit's weights and it follows normal distribution with a mean of μ=645 grams and…

Q: A particular fruit's weights are normally distributed, with a mean of 377 grams and a standard…

A: Find z-value: Note: The total area under the normal curve is 1. Area to the left of z under the…

Q: A particular fruit's weights are normally distributed, with a mean of 344 grams and a standard…

A: Given X is normal Distributed with mean µ = 344.0 and standard deviation σ = 8.0 now will use…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Let X be the length of the steel rods. Then X~N (144.3,0.8) i.e. µ=144.3 and σ=0.8

Q: A particular fruit's weights are normally distributed, with a mean of 305 grams and a standard…

A: Given: Formula: Let "X" be the weight of fruits in grams.

Q: A particular fruit's weights are normally distributed, with a mean of 304 grams and a standard…

A: Solution Given that, Mean(μ) = 304Standard deviation (σ) = 19

Q: A particular fruit's weights are normally distributed, with a mean of 712 grams and a standard…

A: Solution: Let X be the weight of a particular fruit. From the given information, X follows normal…

Q: A particular fruit's weights are normally distributed, with a mean of 230 grams and a standard…

A: The provided information is:

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

Q: Chris tested a sample of 20 Brand A electronic engine control modules, and they lasted 48,560…

A: The sample mean and standard deviation for Brand A electronic engine control modules is;…

Q: The weights of Ajax salmon are approximately normally distributed with a mean of 34 pounds and a…

A: GivenMean(x¯)=34standard deviation(σ)=8

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

A:

Q: A particular fruit's weights are normally distributed, with a mean of 621 grams and a standard…

A: It is given that the fruits weights follow normal distribution with mean 621 and standard deviation…

Q: A particular fruit's weights are normally distributed, with a mean of 649 grams and a standard…

A: Let  be the fruit's weight.Mean: Standard deviation: i.e.

Q: There is an average of 4 accidents in a week on a major highway in the city. What is the standard…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 214 grams and a standard…

A: Obtain number of grams that weighs more than heaviest 11% of the fruits. The number of grams that…

Q: A particular fruit's weights are normally distributed, with a mean of 385 grams and a standard…

A: Given that mean = 385 ,s.d = 17,p value =0.10

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 464 grams and a standard…

A: Let "x" be the weight of the fruit in grams. Sketch the normal curve and shade the area of 0.18…

Q: Suppose you organized a​ 10-kilometer race in which the times were normally distributed with a mean…

A: Let X be any selected finishing time. Here, we have to find the percentage of runners took longer…

Q: A particular fruit’s weights are normally distributed, with a mean of 712 grams and a standard…

A: Given,mean(μ)=712  gramsstandard deviation(σ)=28  grams

Q: Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of…

A: Given that   x̄ = 14 , μ = 16 , ? = 7 , n = 4

Q: A particular fruit's weights are normally distributed, with a mean of 427 grams and a standard…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 384 grams and a standard…

A: Let X be the fruit's weights follows normally distributed, with a mean of 384 grams and a standard…

Q: A particular fruit's weights are normally distributed, with a mean of 620 grams and a standard…

A: Probability distributions are of two types, discrete and continuous distributions. Normal…

Q: A particular fruit's weights are normally distributed, with a mean of 747 grams and a standard…

A: We have given that a particular fruit’s weight is normally distributed with mean 747 grams and…

Q: A hiring manager rates a large pool of job applicants for eligibility for a job vacancy. The ratings…

A: Determine the value of rating score that separates the top 10% with the rest.   The value of…

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.