Search
Four balls are drawn in succession without replacement from an urn containing 8 red balls, 5 green balls. Let T be the random variable representing the number of red balls. Find the values of the random variable T. Complete the table.
Suppose three televisions are tested randomly. We want to find out the number of substandard condition. If we let Y be the random variable representing the number of substandard televisions, will you show the values of the random variable Y? Complete the table below to show the values of the random variable.
A basket contains 6 ripe and 2 unripe bananas. If three bananas are taken from the baskets one after the other, determine the possible values of the random variable R representing the number of ripe bananas.
Suppose a random selected family has 3 children. Define X to be the number of boys in the family, X = 0,1,2, and 3. Write the sample space, construct a probability distribution in table form, and make histogram.
A. Tell whether each given function has a solution on the indicated closed interval. Prove using the Intermediate value theorem.
1. f(x)=3x²+2x²;[-1,1]
2. f(x)= 2-x²/x²;[-3,-1]
B. Sketch the graph of the following functions and then find the absolute extreme values of each of the given interval.
1.f(x)=√x²-25;[5,10]
2. f(x)=-1/x²;[0.5,2]
C. A restaurant's profit function (in hundreds) for hamburgers is given by the function P such that P(x)=1.22x-x²/30,000-4,000,where 0≤x≤20,000.
1. How many hamburgers does the restaurant need to sell to yield the maximum profit?
2. What is the maximum profit from the sale of hamburger ?
What is grapichal method of 2x-3y=7; 3x+y=5
B. Sketch the graph of the following functions and then find the absolute extreme values of each of the given interval.
1.f(x)=3-2/5x;[-4,0]
2.f(x)=x-3/4+x;[-3,1]
C. Let f(x)=2x+1. Determine if the Intermediate value theorem applies to f on the closed interval [-3,4]for k=1.
The height of SHS is normally distributed with a mean of = 150 cm and a standard deviation of = 10 cm.
a) Sketch a normal curve that describes this distribution.
b) Approximately what percent of these students have a height greater than 170 cm?
Samples of 3 cards are drawn from a population of five cards numbered from 1-5.
1. How many are the possible outcomes?
2. What are the possible means?
3. What is the probability of getting 4 as a mean?
4. What is the probability of getting 2 as a mean?
5. What is the probability of getting 3.33 as a mean?
Given a population mean weight for baggage of 62 kg and a standard deviation of 8 kg. A sample of 50 baggage is taken. What is the probability that the sample mean differs from the population mean by at most 1kg?
