Professor Carlton is performing a statistical analysis on the final grades of the students in his seminar. He wishes to find out what percentage of his students lie within 3 standard deviations of the mean. His students' final grades are below. 95, 85, 75, 95, 75, 95, 75, 85, 85, 95 Follow the steps to help Professor Carlton complete his study. Complete parts (a) through (f) below. a) Calculate the mean of the students' grades. The mean is . (Simplify your answer.) b) Calculate the standard deviation of the students' grades. The standard deviation is. (Round to the nearest thousandth as needed.) c) Based on the mean and standard deviation found in steps (a) and (b), what would be the value 3 standard deviations below the mean? The x-value falls 3 standard deviations below the mean. (Round to the nearest thousandth as needed.) d) Based on the mean and standard deviation found in steps (a) and (b), what would be the value 3 standard deviations above the mean? The x-value falls 3 standard deviations above the mean. (Round to the nearest thousandth as needed.) e) Looking at the scores, how many of Professor Carlton's students have grades that fall between the two values found in (c) and (d)?

Q: (-14) + (–7)

A:

Q: (42x² – 33) ÷ (7.x + 7)

A: We have to solve                           42x2-33÷7x+7

Q: 1.25a +3> 0.5a-6 and 2.5a 129-1.5a

A:

Q: xp xペ-4xt13

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 18) 2x y

A:

Q: Evaluate. (3- 5)² + 4(1 – 5)

A: Given, (3-5)2 + 4(1-5)

Q: Find the LU factorization of A = A = 1 1 -3 0 9 3 -17 5 2

A:

Q: 2070 = (16a + 10)15

A: 2070 = (16a+10)15 And (16e+11)17 =3723 To find  the values of a and e

Q: 36-9z

A: Given that:36-9z

Q: 1 + 2n < n° for all integers n² 2

A:

Q: Evalvate S (4sin co) -8cos co) )do

A: Given that: ∫0π(4sinθ-8cosθ)dθ

Q: –4(–6m – 7).

A:

Q: Z4×Z6 has an element of order 24. true or false ?

A:

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.