A single dice has 6 sides with each side marked 1,2,3,4,5,6. if the dice is rolled 12  times, what is the probability that it will land on either 2 or 4 a total of 5 times? also determine the mean and standard deviation for this distribution

Q: The average amount of time to finish this quiz is 26 minutes with a standard deviation of 1.2…

A: Consider the given information.

Q: The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 70…

A: The provided information are: Population mean (μ) = 70 Population standard deviation (σ) = 10…

Q: Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon…

A: From the given information, Let X be the Tory's distance from the center of the target follows…

Q: The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.3 minutes. 9…

A: Given : Mean=20 SD=2.3 n=9 X~N ( 9, 2.3)

Q: According to the Department of Education, college students spend an average of 270 minutes per day…

A: The probability that students spent less than 230 minutes on their phone that day is obtained below:…

Q: On the Gulf Freeway at 7:00 AM, the average travel time from Beltway 8 to Downtown is 29.5 minutes…

A: We have given that the random variable X i.e. travel time is normally distributed with average(mean)…

Q: The height of American women ages 18 and 29 are normally distributed with a mean of 64.3 inches and…

A: Given:The height of American women ages 18 and 29 are normally distributed with a mean of 64.3…

Q: According to the records, the amount of precipitation in a certain city I don't November day has a…

A: According to records, the amount of precipitation in a certain city on a November day has a mean of…

Q: A single dice has 6 sides with each side marked 1,2,3,4,5,6. if the dice is rolled 10 times, what is…

A: Total number of outcomes = 610  Possible combinations of total 5 times being either 2 or 4  =  (…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3 years,…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: Tom works for a fruit company and found that the weight of pineapples are normally distributed with…

A: From the information, mean is 500 and standard deviation is 100.

Q: The weight of a certain type of dog is normally distributed with a mean of 34.7 pounds, and standard…

A:

Q: The scores on a test are normally distributed with an average (mean) of 72 and a standard  deviation…

A: As per our guidelines we are suppose to answer only three sub parts . Mean(μ)=72Standard…

Q: According to data released by New Town Chamber of Commerce, the weekly wages of office workers have…

A: Sample mean=$750population mean=$723Standard deviation=$151sample size=57

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33…

A: Answer: From the given data, The mean daily production of a herd of cows is normally distributed…

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

A: From the provided information, Population mean, μ = 1.75 pounds Population standard deviation, σ =…

Q: The average number of shoppers at a particular grocery store in one day is 505, and the standard…

A: Answer -  The average number of shoppers at a particular grocery store in one day is   μ   = 505,…

Q: It is known that 90% of the bicycles produced in a bicycle factory passed in the last checks and 10%…

A:

Q: Tom works for a fruit company and found that the weights of pineapples are normally distributed with…

A:

Q: at is the probability that you could randomly

A: mean = 112.5 standard deviation = 16.4 What is the probability that you could randomly select a…

Q: The Arc Electronic Company had an income of 22 million dollars last year. Suppose the mean income of…

A: Suppose the random variable X defines the income of the Arch electronic company.

Q: Suppose the mean income of firms in the industry for a year is 35million dollars with a standard…

A: Answer: Given that:   ‘x’ is Normally distributed with                 Mean  µ =35       standard…

Q: Suppose that you and every person in your very large city get five pieces of chocolate from Trader…

A: Given,sample size(n)=5mean(μ)=3standard deviation(σ)=2

Q: For the students in a school for gifted children, scores of IQ test are normally distributed with a…

A: Given,sample size(n)=36 mean(μ)=114standard deviation(σ)=18

Q: The final exam scores of students taking a statistics course are normally distributed with a…

A: Given information- Population mean, µ = 72 Population standard deviation, σ = 8 Let, X be the final…

Q: The average number of miles driven each day by a group of drivers is 20.7 miles with a standard…

A: μ = 20.7 σ = 6.5 N = 50 P ( 19.4 < x̅  < ( 22.5 ) = ?

Q: It is known that people in the USA spend on average 17 hours a day using electronic devices with a…

A: The objective of this question is to find the probability that someone spends more than 20 hours a…

Q: recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 494 grams and a standard…

A: Let "M" be the mean weight of fruit.

Q: A recent study was conducted and it found that IQ's are normally distributed with a mean or 100 and…

A: Given information, μ=100σ=15

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 34…

A: Answer: From the given data, The mean daily production of a herd of cows is assumed to be normally…

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

A: GivenMean(μ)=159standard deviation(σ)=32.6sample size(n)=34

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3…

A: Given Information: Mean μ=12.3 years Standard deviation σ=0.8 years.   If you randomly purchase 3…

Q: CNNBC recently reported that the mean annual cost of auto insurance is 1026 dollars. Assume the…

A: Let X be the random variable from bell-shaped (normal) distribution with mean (μ) = 1026, standard…

Q: A particular fruit's weights are normally distributed, with a mean of 429 grams and a standard…

A: A particular fruit's weight is normally distributed, with a mean of 429 grams and a standard…

Q: It is known that people in the USA spend on average 18 hours a day using electronic devices with a…

A: 1)GivenMean(μ)=18standard deviation(σ)=2.8

Q: Assume that the square footage of a residential house in the US is normally distributed with a…

A: According to the given information in this question  We need to find the probability that it will be…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!