Math Answers

A. Directions: Tossing four coins. Suppose four coins are tossed. Let Y be

the random variable representing the number of tails that occur. Complete

the table below by showing the values of random variable Y.

Let H = Heads

T = Tails

Suppose that A = {1,3,5}, B = {1,5}, C = {3,7}, and D = {1,3}. Determine which of these sets are subsets of

which other of these sets.

Let D represent the defective cell phone and N represents the non – defective cell phone. If we let X be the random variable representing the number of defective if three cell phones are tested at random, show the values of the random variable X?

In a survey of 458 random households, people take pride in discussing their methods of environmental protection. 236 manage their trash by separating biodegradables from non-biodegradable. Biodegradables are converted into fertilizers while non-biodegradable are disposed of properly. Use a 95% confidence to estimate the proportion of all households who have good practices of trash management.

p = 

E = 

Lower Confidence Limit = 

Upper Confidence Limit = 

Heights of the students in this class are given in the distribution below:

5' - 5'2"      11

5'2" - 5'4" 40

5'4" - 5'6"   25 .

Find:

1. Central Tendency

2. Dispersion

Four coins are tossed. Let Z be the random variable representing the number of heads that occur. Find the values of the random variable Z. Construct a probability distribution and draw the corresponding histogram

Find the mean of the discrete random variable X with the following probability distribution, X={3, 2, 1, 0} and P(X) = {.125, .375, .375, .125}.

1000 students took an examination in Statistics and Probability. The mean score obtained is 70 and the

standard deviation is 3. Assuming that the data are normally distributed, find the area and probability of

students who obtained a score of:

a. at least 83

b. mean to 95

c. at most 75

Directions: Evaluate the ff functions.

1.p(a) =4³a find p(1)

2.a(c) = 2c + c²-2 find c(-1)

3.f(x)=x² -3x find f (-8)

4.b(d) =-4d² find b(-13)

5.h(n) =-2h²+4 find h(4)