Math Answers

Consider the lot of fluorescent tubes in number 100.if 50 samples of 100 tubes are drawn from the lot with replacement find the expected number of sample will have mean life atleast 1600 hrs. Flourescent tubes are 1570 hrs with a s.d. of 150 hrs.

A spinner for a child's game has the numbers 1 through

9 evenly spaced. If a child spins, find each probability:

a. The number is divisible by 3.

b. the number is greater than 7.

c. The number is an even number.

A spinner for a child's game has the numbers 1 through

9 evenly spaced. If a child spins, find each probability:

a. The number is divisible by 3.

a taxi cab company has 12 ambassadors and 8 fiats. If 5 of these taxi cabs are in workshop for repair, calculate the probability that i) 3 of them are ambassadors and 2 flats ii) all the 5 are of the same make

A box contains 5 green and 2 blue dice.Four dice are chosen one after the other .Determine the values of the random variable G representing the number of green dice.

For each of the following scenarios, give an example of a discrete and a continuous random variable. The first one is done as an example.

Scenarios

•Asking your classmates about their breakfast.

•Making an order at a fast food restaurant.

•Uploading a picture in a social media.

•Buying pairs of shoes.

• Writing a manuscript

Construct the probability distribution for each random variable X.

a. The random variable X represents the number of heads that occur when you toss 4 coins at the same time.

b. The random variable X represents the number of male children in a 3-child family.

c. The random variable X represents the amount gain by a person who buys s 20 peso ticket from a total of 1000 tickets for a raffle whose winner will obtain ₱5,000

Find the mean of the probability distribution of the random variable X, which can take only the values 2,3,4,5 given that p(2)= 2/7, P(3)= 3/7, P(4) = 1/7, and P(5)= 1/7.

A stone crushing company is planning to purchase a Wheel Loader to be used for conveying raw stone to a large Stone Crushing Machine and loading crushed stone in trucks. A new Wheel loader can be purchased directly from Caterpillar Company for $150,000. The new Wheel Loader will reduce the annual cost by $25,500 and increase annual operating expenses by $4,500. The useful life of the Wheel Loader is 20 years. After 20 years it will have a salvage value of $30,000. The company uses straight line method of depreciation for allassets

Present a case in support of the use of accounting rate of return as an investment appraisal technique

Let X be a random variable that denotes the number of passengers in a train station for a given hour. What are the possible values of X?

Let X be a random variable that denotes the number of passengers in a train station for a given hour. What are the possible values of X?