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Age in years 0 – 1 1 – 2 2 – 3 3 – 4 4 – 5 5 – 6 6 – 7
Probability 0.10 0.26 0.28 0.20 0.11 0.04 0.01
a. Find the probability that a rented car is between 0 and 4 years old.
b. Find the mean
Find the variance
2 At least one tail appears in two tosses of a fair coin
3 In an experiment a coin is tossed 4 times.Find the probability of getting at least 2 heads and 1tail.
tickets and 7 are blanks. Somna has taken one ticket from a pack of 5 lottery tickets in which 2
are winnings and 3 blank tickets. Amongst Amit and Somna who has a better chance of winning
a prize.
Direct Labour: 6 hours @ $6.50 39.00
Factory overhead: 6 hours @ $0.75 4.50
Total unit standard cost $ 115.50
The factory overhead was based on the following flexible budget, in which 90% is normal capacity.
80% 90% 100%
Hours (direct labour) 40,000 45,000 50,000
Variable expenses $20,000 $22,500 $25,000
Actual data for November:
Fixed Expenses 11,250 11,250 11,250
Total Factory Overheads 31,250 33,750 36,250
Planned production, 7,500 units
Material put into production 192410kg @ $ 3.04 (average cost) Direct Labour 46,830 hours @ $6.60 average labour cost Actual FOH $ 36,340
Other data:
Beginning inventory, work in process, 80 units, all material, 50% converted Ending inventory, work in process, 100 units, all material, 50% converted Started in process during November 7,850 units
Required:
A variance analysis of
Material (Overall, Price and Usage)
FOH (Overall, Spending and Capacity)
Assignment 10
All Together, Now
a) Pull 5 cards from a standard deck, replacing and shuffling each time, and count the number of face cards.
b) Deal five cards from a standard deck (without replacement). Count the number of face cards.
1. Create probability distributions for both of these situations. Include your tables. [4]
2. Calculate the expected number of face cards for each situation. [2]
3. Explain which probability distribution type you picked for each, and why. [2, Communication]
committee of 5 people is to be formed from 11 ward councillors and 8 nonprofit representatives. If
they were picked at random...
1. Calculate the expected number of nonprofit representatives on this committee. [2]
2. Create a hypergeometric distribution graph, checking for number of nonprofit
representatives. Include the table with the graph. (To save yourself time, check back in the
lesson for the formulas to drop in your spreadsheet!) [3]
Pull 5 cards from a standard deck, replacing and shuffling each time, and count the number of face cards. Create probability distributions
Out of 25 employees of a company, 5 are engineers. Three employees are selected at random for granting leave. What is the probability that (i) all the three are engineers?(ii) none of them is an engineer? (iii) at least one of them is an engineer?
A Family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 26 houses that sold in their neighborhood took an average time of 218 days to sell. The realtor also tells them that based on her prior experience, the population standard deviation is 72 days.
a. What assumption regarding the population is necessary for making an interval estimate for the population mean?
b. Construct the 90% confidence interval for the mean sale time for all homes in the neighborhood.
#339914 on Dec 2023