Because of the immediate suspension of classes nationwide due to the COVID- 19 pandemic, many schools opted to give the final examination online. The scores on a certain exam are normally distributed with a mean of 65 and a standard deviation of 9. Find the probability of the score. a. less than 54

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

Q: A newsvendor wants to achieve a 0.975 in-stock probability. Demand is normallydistributed with a…

A: Introduction: A continuous probability distribution that is symmetrical on both sides of the mean is…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.5…

A:

Q: In a large population of college-educated adults, the mean IQ is 112 with standard deviation 25.…

A:

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

A: Given data,μ=69.7σ=3P(68<X<70)=?

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A:

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57…

A: Given that, mean, mu= 57 Standard deviation, sigma= 3.5 We know that, Z score=(X-mu)/sigma Here…

Q: e monthly utility bills in a city are normally​ distributed, with a mean of ​$100   and a standard…

A: Given: Mean, μ=100 Standard deviation, σ=15 (a)  Probability that a randomly selected utility bill…

Q: The weights of newborn for hippopotami is approximately Normal, with a mean of 86 pounds and a…

A: Given,mean(μ)=86standard deviation(σ)=10

Q: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 31…

A: P(X>30)=1-Pz<30-311045=1-P(z<-0.67)=1-0.2514=0.7486

Q: The average number of acres burned by forest and range fires in a large New Mexico county is 4,300…

A:

Q: The average number of acres burned by forest and range fires in large New Mexico county is 4,300…

A: GivenMean(μ)=4300standard deviation(σ)=750

Q: The accountants of a known auditing firm have a mean daily salary of P850 with a standard deviation…

A: X~N(μ= 850 , σ= 82 ) μ= 850 , σ= 82 Formula for Z-score Z=(X-μ)/σ

Q: A study indicates that​ 18- to​ 24- year olds spend a mean of 120 minutes watching video on their…

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

Q: The incoming freshman class at North Carolina State University had a mean unweighted GPA of 3.81…

A: Given: Sample size (n) = 100 Population mean GPA score μ=3.81 Population standard deviation σ=0.36

Q: A study of the amount of time it takes a hiker to hike to the bottom of the Grand Canyon and back to…

A: Given: μ = 12 σ = 2.4 n = 9

Q: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A:

Q: the breaking of a particular rope is normally distributed, with the mean of 350 lbs. and a standard…

A:

Q: The starting salary for a computer programmer major has a mean of $39,269 and a standard deviation…

A: Note: Hey there! Thank you for the question. Although the mean and standard deviation of the…

Q: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28…

A: P(X<30)=Pz<30-28540=P(z<2.53)=0.9943

Q: Following safety protocols, Starburst serves its customers with a mean time of 7.5 minutes which…

A: If the sample size is greater than 30, then the sample means distribution can be approximated by…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.5…

A: Given data:     The given mean length is: μ=11.5 in. The standard deviation is: σ=0.5 in. The number…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 18.7…

A: It is given that the mean is 187, the standard deviation is 47 and the sample size is 34.

Q: Assume that the heights of adult puffins are normally distributed, with a mean of μ=μ= 15.9 inches…

A: Obtain the probability of obtaining a sample mean height less than 14.8 inches. The probability of…

Q: The entrance test scores for SHS in a certain school has a mean of 85 and a standard deviation of…

A:

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56…

A: Since you have posted multiple question, we only provide answers of first three subparts . Please…

Q: The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave frozen…

A: Solution:

Q: At a customer service call center for a large company, the number of calls received per hour is…

A:

Q: he reading speed of second grade students in a large city is approximately​ normal, with a mean of…

A: P(X>96)=?

Q: Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 56…

A: From the provided information, Mean (µ) = 56 Standard deviation (σ) = 3.2 Let X be a random variable…

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56…

A: Given: X~Normalμ=56,σ2=3.32

Q: Fraveling between two campuses of a university in a city via shuttle bus takes, on average, 28…

A: We want to find the probability  P(xbar>30)

Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63…

A: Given that, μ=2.63,σ=0.03,n=9 The mean of sampling distribution of sample mean is, (a) The standard…

Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…

A: It is given that the gas mileage for a hybrid car is normally distributed mean 56 and standard…

Q: If the grades on a statistics test are normally distributed with a mean of 80 and a standard…

A: The probability is equal to the area under the curve of normal distribution. So the probability that…

Q: Following safety protocols, Starburst serves its customers with a mean time of 7.5 minutes which…

A:

Q: The weights of newborn for hippopotami is approximately Normal, with a mean of 85 pounds and a…

A: Given  Mean, μ=85 pounds and standard deviation, σ=12 pounds

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57…

A: Given data,μ=57σ=3.5

Q: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 11 inches,…

A: Given :  sample mean = 11             standard deviation of samples=1.722=0.3624412178…

Q: Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a…

A: Given :  sample with mean of 151 and standard deviation of 27 we have to find P(X > 158 )

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.2…

A:

Q: Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 57…

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

Q: The weights of newborn babies are distributed normally, with a mean of approximately 115 oz and a…

A:

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57…

A: Given, The proportion of light bulbs will last more than 60 hours is obtained as- The required…

Q: are normally​ distributed, with a mean of $100 and a standard deviation of ​$13. Find the…

A: Given: μ=100, σ=13 The corresponding z-values needed to be computed are: The probability that a…

Q: According to AAA, the price of a gallon of regular, unleaded gas across gas stations in Ohio is…

A: According to AAA, the price of a gallon of regular, unleaded gas across gas stations in Ohio is…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.