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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.
What is the Mean of the probability distribution of the number of boys in the family based on item number 4? *
The spinner below is devided into 10 sections. Let X be the color where the arrow will stop (labeled as red, yellow, blue, green and orange). Find out he values of the random variable X.
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 ?
i)If the victim is to be saved, a proper donor must be found within 8 minutes, allowing 2 minutes for the transfer of blood. Thus four people can be “typed” and the person will be saved if a proper donor is found on the first, second, third, or fourth try.
ii)Let , where Z is a normal random variable and is chi-square with n degree of freedom.
Use a moment-generating approach to find f(t).
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.
let P(x) be the statement "x has develop a program in JAVA", where the domain for x consist of all students. write a statement in english corresponding to the for
- ?x P(x)
- ?x ~p(x)
- ?x p(x)
- ~?x p(x)
- ~? ?x p(x)
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?
#339914 on Dec 2023