Statistics and Probability Answers

i. Ali starts driving for office in the morning at sometime uniformly chosen in the interval [8:30,9.00]. a) What is the probability that he starts driving before 8:45? b) His favorite radio program comes on at 8:30 and may last anywhere between 5 to 15 minutes with equal probability. What is the probability that he catches at least a part of the program?

Based on what you searched regarding stratified random sampling,complete the following table

Number of COVID Cases in the 1st District of Nueva Ecija as of October 21, 2020

Municipalities | no.of patients | Proportion | |sample

— Cuyapo         15

— Nampicuan      0

— Guimba         24

— Licab           6

— Quezon         11

— Sto. Domingo   15  

— Zaragoza       5

— Aliaga          16

— Talavera        24 

TOTALS     N= 116         100%

Source: Nueva EcijaTV48

Give the value of proportion and Sample

1. The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 24 B, and 36 C. Show the frequency and relative frequency distributions. 
2. A questionnaire provides 58 Yes, 42 No, and 20 no-opinion answers. a) In the construction of a pie chart, how many degrees would be in the section of the pie showing the Yes answers? b) How many degrees would be in the section of the pie showing the No answers? c) Construct a pie chart. d) Construct a bar chart. 

What is the percentile rank of the height of 88 cm?

Harry intends to complete a BSc degree. He has to take either Mathematics A or Physics A in his first year. If he takes Mathematics A, he can take chemistry A or Mathematics B in His second year. If he takes Physics A, he has to take Mathematics A in his second year. When Harry has to make a choice between two subjects both are likely to be chosen

What is the probability that the height is equal to 75 cm?

An experiment is performed to determine whether the average nicotine content of one kind of cigarette exceeds that of another kind by 0.20 milligram. If =50 cigarettes of the first kind had an average nicotine content of =2.61 milligrams with a standard deviation of =0.12 milligram, whereas =40 cigarettes of the other kind had an average nicotine content of = 2.38 milligrams with a standard deviation of =0.14 milligram, test the null hypotheses - = 0.20 against the alternative hypotheses - ¹ 0.20 at the 0.05 level of significance. 

Currently, it is known that 85 percent of the population own an automobile and 15 percent do not. Based upon past experience, in a year 1¼ of the nonowners will become owners, and 1/1000 of one percent of the owners will become nonowners.

1. What are the expcted percentages of owners and nonowners for next year?

2. What is the expected steady state?

Assume that women's heights are normally distributed with a mean 64.5 in, and a standard deviation of 2.3 in.

a. if 1 woman is randomly selected, find the probability that her height is less than 65 in.

b. if 46 women are randomly selected, find the probability that they have a mean height less than 65 in.

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