Statistics and Probability Answers

A firm buys 3 shipments of parts each month. The purchasing agent selects at random from among four in-state suppliers and six out-of-state suppliers. What is the probability that orders are placed with
a) The in-state suppliers only
b) The out-of-state suppliers only
c) At least one in- state suppliers

) An ambulance service claims that it takes, on average 8.9 minutes to reach its destination in
emergency calls. To check on this claim, the agency which licenses ambulance services had them
timed on 50 minutes emergency calls, getting a mean of 9.3 minutes with a standard deviation of
1.8 minutes. At the level of significance of 0.05, does this constitute evidence that the figure
claimed is too low? [5 Marks]

Three cooks Mohsin, Khurram, and Shahidbake a special kind of cake. In the restaurant where they work, Mohsin, bakes 55 percent of these cakes, Khurrambakes 25 percent and Shahidbakes 20 percent and with respective probabilities of 0.03, 0.02 and 0.05 they fail to rise. A cake is selected and fails to rise what is probability that it was backed by cook Khurram.

A box contains 10 red and 12 white rose flowers. Flowers are picked up at random one by one without replacement. What is probability that
a) The first 3 flowers are red.
b) Flowers are in alternate order starting from 1st one is red.

A firm buys 3 shipments of parts each month. The purchasing agent selects at random from among four in-state suppliers and six out-of-state suppliers. What is the probability that orders are placed with
a) The in-state suppliers only
b) The out-of-state suppliers only
c) At least one in- state suppliers

Explain the concept of a random variable. Define a Continuous random variable and what
are its properties?

: Write the application of Negative Binomial Distribution and Geometric Distribution.

Explain the concept of a random variable. Define a Continuous random variable and what
are its properties?

An employer wishes to hire five people from a group of 24 applicants. 14 men and 10 women
all of whom are equally qualified to fill the position. If he selects the five at random, what is
the probability that (i) all five will be men, (ii) at least one will be a women

: An urn contains 4 red balls and 8 black balls. A sample of 5 balls is selected from urn
without replacement. Let X be the number of red balls contained in the sample, then find
the probability distribution for X