Let x be a random variable that represents the length of time it takes to complete certification for an Information Technology (IT) program. It was found that x has an approximately normal distribution, with a mean of 250 days and a standard deviation of 11.2 days. a)  What is the probability that it takes between 220 and 275 days for a randomly selected person to complete the IT certification? b)  Suppose 18 people in the program are selected at random. What is the probability that their average time, ?̅, to complete certification is not more than 252 days? write a complete probability statement, draw a corresponding picture, and answer the question.

Q: A particular fruit's weights are normally distributed, with a mean of 799 grams and a standard…

A: It is given that the fruit weights follow normal distribution with mean 799 grams and standard…

Q: A particular fruit's weights are normally distributed, with a mean of 614 grams and a standard…

A: The random variable X follows normal distribution. The population mean is 614. The population…

Q: The sick leave time of employees in a firm in a month is normally with a mean of 100 hours and a…

A: Dgg

Q: A particular fruit's weights are normally distributed, with a mean of 392 grams and a standard…

A:

Q: Suppose the age a student graduates from Salem State is Normally distributed. If the        mean age…

A: Given, mean = 23.1 Standard deviation = 3.1 We know, z = (x-mean)/std dev

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 particular fruit's weights are normally distributed, with a mean of 575 grams and a standard…

A: R command has utilized to find the probability.

Q: The average age of AMA employees is 34 years old. Assume the data is normally distributed. If the…

A: Given that, μ=34 yearsσ= 3 years The probability that the age of a randomly selected AMA employees…

Q: Assume the average height for all American women is 64 inches with a standard deviation of 2 inches.…

A:

Q: rticular fruit's weights are normally distributed, with a mean of 515 grams and a standard deviation…

A: Given data,Mean μ=515sd     σ=26P(488<X<506)=?

Q: The annual salary for an emergency room nurse is a normally distributed random variable with a mean…

A: Suppose the random variable x defines the annual salary for an emergency room nurse.

Q: A particular fruit's weights are normally distributed, with a mean of 668 grams and a standard…

A: We have given that,  Let X be the random variable from normal distribution with mean = 668 and…

Q: A particular fruit's weights are normally distributed, with a mean of 769 grams and a standard…

A: A particular fruit's weight is normally distributed, with a mean of 769 grams and a standard…

Q: If you pick one fruit at random, what is the probability that it will weigh between 631 grams and…

A: It is given that  Mean, μ = 626 Standard deviation, σ = 27 Z-Score, Z = ( X - μ )/σ

Q: Suppose the average speeds of passenger trains traveling from Colombo to Jaffna  are normally…

A: Given,       Mean μ=88       Standard deviationσ=6.4   1) Required probability is Px<70…

Q: A report on egg consumption shows that people living in China eat an average of 196 eggs each year…

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.