**Problem 3:**At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.117; 5 students, 0.123; 6 students, 0.295; and 7 students, 0.328. a. Find the probability that a tutor sees 8 students in an hour.b. Construct the probability distribution and draw the graph.c. Find the mean, variance, and standard deviation of this distribution.---**Problem 4:**A financial adviser suggests that his client select one of two types of bonds in which to invest $5000. Bond X pays a return of 4% and has a default rate of 2%. Bond Y has a 2.5% return and a default rate of 1%. Find the expected rate of return and decide which bond would be a better investment. When the bond defaults, the investor loses all the investment.

Answered: **Problem 3:** At a drop-in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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**Problem 3:**

At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.117; 5 students, 0.123; 6 students, 0.295; and 7 students, 0.328.

a. Find the probability that a tutor sees 8 students in an hour.

b. Construct the probability distribution and draw the graph.

c. Find the mean, variance, and standard deviation of this distribution.

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**Problem 4:**

A financial adviser suggests that his client select one of two types of bonds in which to invest $5000. Bond X pays a return of 4% and has a default rate of 2%. Bond Y has a 2.5% return and a default rate of 1%. Find the expected rate of return and decide which bond would be a better investment. When the bond defaults, the investor loses all the investment.

Expert Solution

Step 1

Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question.

The variable X is defined as the number of students teacher sees in an hour.

It is clear that the total probability should be equal to 1.

The probability that a tutor sees 8 students in an hour is,

$\begin{array}{rcl} P (X = 4) + P (X = 5) + P (X = 6) + P (X = 7) + P (X = 8) & = & 1 \\ 0.117 + 0.123 + 0.295 + 0.328 + P (X = 8) & = & 1 \\ P (X = 8) & = & 1 - 0.863 \\ = & 0.137 \end{array}$