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Defects in a certain wire occur at the rate of one per 10 meter. Assume the defects have a Poisson distribution. What is the probability that: (a) a 20-meter wire has no defects? (b) a 20-meter wire has at most 2 defects?
Question.1:
An adult has on average 5.4 liters of blood. Assume the variable is normally distributed and has a standard deviation of 0.4. Find the percentage of people who have less than 5.7 litres of blood in their system.
Question.2 :
The average annual salary for all U.S teachers is $ 48,675. Assume that the distribution is normal and the standard deviation is $ 4995. Find the probability that a randomly selected teacher earns:
(i) Between $36000 and $42000 a year.
(ii) More than 40,000 a year.
Question.3:
The average daily jail population in the U.S is 706,242. If the distribution is normal and the standard deviation is 52,145, find the probability that on a randomly selected day the jail population is:
(i) Greater than 750,000
(ii) More than 600,000 but not more than 700,000
1) A random sample is drawn from a population of known standard deviation 10. Construct a 90% confidence interval for the population mean based on the information given n = 36 𝑥 = 100
Solve the triangle.
A = 21°, C = 105 °, c = 5
A survey found that the average hotel room rate in Luzon is ₱2,300 and the average room rate in Mindanao is ₱2,150. Assume that the data were obtained from two samples of 75 hotels in Luzon and 80 hotels in Mindanao and the standard deviations were ₱250 and ₱215, respectively. At α=0.05, can it be concluded that there is a significant differences in the rates? (10 points)
triangle TAB is located at T(2,3), A(1,1) and B(4,-3). Plot the shape, reflect this over the y-axis, then translate the image by rule (x,y) to (x+2, y- 1). record the coordinates of the images in the provides spaces.
A health specialist wants to determine the average number of hours a person exercise
in a day during the quarantine period. She found out that the mean number of hours a
person exercise in a day during the quarantine period is 80 minutes. A random sample of
29 persons were surveyed and found that their mean is 65 minutes and a standard
deviation of 10 minutes. Test the hypothesis at 2% level of significance and assume that
the population is normally distributed.
Name and explain in details at least 5 pre maths concepts learners need to be able to master in their Grade R year
For a particular school year, the registrar of a university wanted to know the proportion of students who are enrolled in the Sciences. The enrollment data showed total enrollment of 6 534 students. Of this total, there were 4 286 enrolled in various Science courses. What do the numbers say about the course preferences of the students?
An electrical company claims that the average life of the bulbs it manufactures is 1 100 hours with a standard deviation of 200 hours. If a random sample of 110 bulbs is chosen, what is the probability that the sample mean will be between 1120 hours and 1 150 hours?
