Answer ASAP: Probability and Statistics question On average, 2.4 car accidents occur on certain highway each...

Answer ASAP: Probability and Statistics question

On average, 2.4 car accidents occur on certain highway each month (which is assumed to always have 30 days). Answer the following questions:

(a) What is the probability of having at least 1 accident on the highway next month?

Hint: Let LaTeX: XX denote the number of car accidents on the highway next month. What distribution does LaTeX: X X have?

(b) What is the probability that there will be no accident during the first 15 days of next month?

Hint: Let LaTeX: YYdenote the waiting time (in months) for the first accident that will occur on the highway next month. What does the question imply about LaTeX: YY?

(c) Given that there is no accident on the highway during the first 15 days of next month, what is the probability that there is no accident during the next 10 days of the month?

(d) Bonus question (5 extra points). Considering next year, let LaTeX: ZZ denote the number of months in which there will be no car accidents on the highway. What distribution does LaTeX: ZZ have? Be sure to specify both the distribution name and parameter value(s).

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Answer ASAP: Probability and Statistics question The desired percentage of SiO2 in a certain type of...

Answer ASAP: Probability and Statistics question The desired percentage of SiO2 in a certain type of aluminous cement is 5.50 or higher. Suppose that the percentage of SiO2 in a specimen is normally distributed with unknown mean LaTeX: \muμμ but known standard deviation LaTeX: \sigma=0.30σ = 0.30. To test whether the true average percentage is actually less than 5.50 for a particular production facility, we consider LaTeX: H_0: \mu=5.50 \qquad \textrm{vs} \quad H_1: \mu<5.50H 0 : μ = 5.50 vs...

Answer ASAP: Probability and Statistics question Assume that the helium porosity (in percentage) of coal samples...

Answer ASAP: Probability and Statistics question Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed, but neither the mean LaTeX: \muμ nor the variance LaTeX: \sigma^2σ 2 is known. Suppose that we are given a sample of 25 specimens from the seam, with average porosity 8.85 and standard deviation 0.75. Answer the following questions: (a) Construct a 98% confidence interval for LaTeX: \muμ. How large is the margin of error? (b)...

About 60% of the car accidents in a given highway road are due to exceed of...

About 60% of the car accidents in a given highway road are due to exceed of the limited high speed. If a study will investigate 10 cars accidents The probability that none is due to exceed of the limited high speed is The probability that 5 exact accidents are due to exceed of the limited high speed is The probability that at least 1 car accident is due to exceed of the limited high speed is The probability that at...

A highway department executive claims that the number of fatal accidents which occur in her state...

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 120120 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 1010 1212 77 1313 66 1010 1313 66 1010 1111 88...

A highway department executive claims that the number of fatal accidents which occur in her state...

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 171 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 22 8 8 17 8 10 23 11 13 13 20...

a highway department executive claims that the number of fatal accidents which occur in her state...

a highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. the results of a study of 180 fatal accidents were recorded. is there enough evidence to reject the highway department executives claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 14 9 18 14 11 11 16 22 16...

A highway department executive claims that the number of fatal accidents which occur in her state...

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 161161 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 16 11 19 11 10 13 13 10 13 16 18...

A highway department executive claims that the number of fatal accidents which occur in her state...

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 162 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Fatal Accidents Jan-19 Feb-8 Mar-21 Apr-13 May-10 Jun-18 Jul-10 Aug-14 Sept-13 Oct-8 Nov-10 Dec-18. Step 1 of 10: State the null and alternative hypothesis. Step...

A highway department executive claims that the number of fatal accidents which occur in her state...

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 161 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 16 8 10 13 13 11 16 16 13 13 18...

A highway department executive claims that the number of fatal accidents which occur in her state...

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 179 179 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Fatal Accidents Jan-14 Feb-18 Mar-11 Apr-14 May-11 Jun-20 Jul-11 Aug-16 Sept-16 Oct-11 Nov-14 Dec- 23 Step 2 of 10: What does the null hypothesis...

Subjects