According to a survey, 64 % of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. When technology is used, use the Tech Help button for further assistance. (a) Find the probability that exactly 41 of the murders were cleared. (b) Find the probability that between 36 and 38 of the murders, inclusive, were cleared. (c) Would it be unusual if fewer than 20 of the murders were cleared? Why or why not?
In: Statistics and Probability
According to Harper's Index, 60% of all federal inmates are serving time for drug dealing. A random sample of 15 federal inmates is selected.
(a) What is the probability that 13 or more are serving time for
drug dealing? (Round your answer to three decimal places.)
(b) What is the probability that 7 or fewer are serving time for
drug dealing? (Round your answer to three decimal places.)
(c) What is the expected number of inmates serving time for drug
dealing? (Round your answer to one decimal place.)
In: Statistics and Probability
There are on average 12.0 small airplane crashes in the US each year.
1.What is the standard deviation of the number of small airplane crashes that will happen in the US in the next 3 years?
2.What is the probability that there will be exactly 10 small airplane crashes in the US in 2021?
3.We will find the probability that there will be fewer than 14 small airplane crashes in the US in 2021, using normal approximation. In the process, we will need to use a table or app to find P(Z ≤ z) for Z standard normal, and letting z be what?
In: Statistics and Probability
In: Statistics and Probability
In an urn, there are Eights balls undistinguishable by touch.
Three balls are red
labeled by 1;1;0, three balls are green labeled by 2;0;1, and two
balls are white labeled
by 0;1.
We draw at random three balls at the same time and consider the
following events:
A: Draw three balls with different color
B: Draw three balls with same label
a. Find the probability of each event: ? , ? and ? ∩ ?
b. Determine whether the events ? and ? are mutually
exclusive
c. Find the probability of drawing three balls with different color
and labeled with
same number.
In: Statistics and Probability
Assume that a researcher is intending to compare the means of three different treatment groups. The researcher is concerned about the fact that multiple comparisons will be made during the analysis phase. A) What is the probability that the researcher will reject at least one true hypothesis in his study? B) Assume the researcher is going to compare the means of four different treatment groups. What is the probability that the researcher will reject at least one true hypothesis in his study? C) What happens as you increase the number of comparisons to be made? D) How do researchers overcome this phenomenon?
In: Statistics and Probability
According to Harper's Index, 50% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. (a) What is the probability that 12 or more are serving time for drug dealing? (Round your answer to three decimal places.)
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(b) What is the probability that 3 or fewer are serving time for drug dealing? (Round your answer to three decimal places.)
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(c) What is the expected number of inmates serving time for drug dealing? (Round your answer to one decimal place.)
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In: Statistics and Probability
According to a survey, 65% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. When technology is used, use the Tech Help button for further assistance.
(a) Find the probability that exactly 39 of the murders were cleared.
(b) Find the probability that between 36 and 38 of the murders, inclusive, were cleared.
(c) Would it be unusual if fewer than 20 of the murders were cleared? Why or why not?
In: Statistics and Probability
According to Harper's Index, 50% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. (a) What is the probability that 13 or more are serving time for drug dealing? (Round your answer to three decimal places.) (b) What is the probability that 6 or fewer are serving time for drug dealing? (Round your answer to three decimal places.) (c) What is the expected number of inmates serving time for drug dealing? (Round your answer to one decimal place.)
In: Statistics and Probability
According to a survey, 62% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. When technology is used, use the Tech Help button for further assistance.
(a) Find the probability that exactly 39 of the murders were cleared.
(b) Find the probability that between 36 and 38 of the murders, inclusive, were cleared.
(c) Would it be unusual if fewer than 18 of the murders were cleared? Why or why not?
In: Statistics and Probability