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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)
A mule is pulled by ropes with forces of 100
lbs. in a direction 30° north of west and 100 lbs. in a direction 37° south of
west. Estimate the resultant force on the mule.
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?
how is molecular geometry related to the presence or absence of a molecular dipole moment
Instructions:
An array containing 10 predefined double values are already provided for you in the code editor. Print each of the element out in separate lines, starting from the last array element down to the first.
Each outputted value must also only show up to two decimal places.
Output
Multiple lines containing a float number.
5.10
5.50
4.00
4.02
3.00
3.66
2.50
2.20
1.21
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.
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DEADLINE : 05/03/2022 11 : 00 PM
#340153 on Dec 2023