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According to a National Health Survey, American men’s heights are normally distributed with a mean given by 𝜇 = 69.7 inches and a standard deviation given by 𝜎 = 2.8 inches.
a). If a man is randomly selected, find the probability that his height is more 72 inches.
b). If a man is randomly selected, find the probability that his height is between 68 and 72 inches.
Suppose that 9 good fuses and 4 defective ones have been mixed up. To find the defective fuses, we test them one-by-one, at random. What is the probability that we are lucky and find both of the defective fuses in the first two tests?
1). With replacement
2). Without replacement
The number of violent crimes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per day. A random sample of 100 days was observed, and the sample mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample means.
a.) shape unknown with mean of 2.8 and a standard deviation of 0.4
b.) approximately normal with mean of 2.8 and standard deviation of 4
c.) shape unknown with mean of 2.8 and standard deviation of 4
d.) approximately normal with mean of 2.8 and standard deviation of 0.4.
Which one of the following charts represents a probability distribution?
a)
X | P(x)
0 | 0.1
1 | 0.2
2 | 0.4
3 | 0.1
b)
X | P(x)
0 | 0.3
1 | 0.2
2 | 0.1
3 | 0.35
c)
X | P(x)
0 | -0.1
1 | 0.1
2 | 0.4
3 | 0.6
d)
X | P(x)
0 | 0
1 | 0
2 | 1
3 | 0
If f(x) = sin¹x, show that(1-x2)f"(x) xf'(x)
1) Newborn babies are more likely to be boys than girls. A random sample found that 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. Is this sample evidence that the birth of boys is more common than the birth of girls in the entire population?
Related Rates: Problem Solving
Direction: Solve each word problem involving a related rates. Make a sketch of your work
if necessary, and then apply differentiation.
A spherical snow ball is made so that its volume is increasing at a rate of 8 cubic
feet per minute. Find the rate at which the radius is increasing when the snowball
is 4 feet in diameter.
PLEASE ANSWER MY QUESTION QUICKLY!!
DEADLINE : 05/03/2022 11 : 00 PM
Related Rates: Problem Solving
Direction: Solve each word problem involving a related rates. Make a sketch of your work
if necessary, and then apply differentiation.
Sand is being dropped at a rate of 10 cubic feet per minute onto a conical pile. If
the height of the pile is always twice the base radius, at what rate is the height
increasing when the pile is 8 feet high?
PLEASE ANSWER MY QUESTION QUICKLY!!
DEADLINE : 05/03/2022 11 : 00 PM
Related Rates: Problem Solving
Direction: Solve each word problem involving a related rates. Make a sketch of your work
if necessary, and then apply differentiation.
A spherical balloon is being inflated so that its volume is increasing at rate of 5
cubic feet per minute. At what rate is the diameter increasing when the diameter
is 12 feet?
PLEASE ANSWER MY QUESTION QUICKLY!!
DEADLINE : 05/03/2022 11 : 00 PM
Related Rates: Problem Solving
Direction: Solve each word problem involving a related rates. Make a sketch of your work
if necessary, and then apply differentiation.
A boy is flying a kite, which is at a height of 40 feet. The kite is moving horizontally
at a rate of 3 feet per second. If the string is taut, at what rate is the string being
paid out when the length of the string released is 50 feet?
PLEASE ANSWER MY QUESTION QUICKLY!!
DEADLINE : 05/03/2022 11 : 00 PM
