Statistics and Probability Answers

April, Bill , Candace, and Bobby are to be seated at random in a row of 5 chairs. What is the probability that April and Bobby will occupy the seats at the end of the row?

A school anniversary committee is to be selected from all its employee. There are 21 male where 16 are faculty members and 5 are non-teaching personnel, and 39 are female where 24 are teachers and 15 are non teaching personnel. What is the probability that the first person selected is female?

Annual income in thousands: 12,13,14,15,16,17,18,19,20.
Annual savings in thousands:
0,0.1,0.2,0.2,0.5,0.5,0.6,0.7,0.8,
Find the following
1) Equation line y on x
2) Equation line x on y
3) Find the Annual saving when Annual income is 25000.
4) Find the Annual income when Annual saving is 550.

Find y on x and x on y
Price in RS :(12),(15),(18),(25),(22),(18),(30). Demand in kg : (65),(60),(50),(41),(40),(56),(45).
1)Find the equaition line y on x
2) find the equation line on x on y
3)find the demand when price is 35
4)find the price when demand is 25.

A bag contains 3 white balls 4 black balls and 5 red balls if 3 balls are drawn at random determine the probability that.
1) all three red balls
2) all three are black
3) 2 are red and 1 is black
4) one of each Color is drawn
5) one is white
6) at least 1 white

In a certain factory making razor blades there is a small probability of 1/500 for any blade
to be defective in each packet. The blades are supplied in packets of 10. Calculate the no.
of packets having a) no defective blade b) 1 defective blade c) 2 defective blade in a
consignment of 10,000 packets.

KFC has developed a new process to ensure that orders at the drive-through are
filled correctly. The business problem is defined as determining whether the new
process can increase the percentage of orders processed correctly. The previous
process filled orders correctly 85% of the time. Data are collected from a sample
of 100 orders using the new process. The results indicate that 94 orders were filled
correctly. At the 0.01 level of significance, can you conclude that the new process
has increased the proportion of orders filled correctly

Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. A paper gave the following data on total body bone mineral content (TBBMC) (g) for a sample both during lactation (L) and in the postweaning period (P).
Subject
1 2 3 4 5 6 7 8 9 10
L 1927 2547 2825 1923 1628 2175 2111 2621 1843 2543
P 2127 2885 2895 1945 1750 2183 2164 2626 2006 2628

Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t =
P-value =

(b) Calculate an upper confidence bound using a 95% confidence level for the true average difference between TBBMC during postweaning and during lactation. (Round your answer to two decimal places.)

Let X represents the number of computers in an Australian household, for those that own a computer.
a. Find and interpret the expected number of computers in a randomly selected Australian
household. (2 marks)
b. What is the probability that a randomly selected Australian household will have more than 2
computers? (1 mark)
c. Find V (4X +2). (1 mark)
d. Find E(30X + 20]. (1 mark)

The weekly income of a large group of middles managers are normally distributed with a mean of k800 and a standard deviation of k85. What is the probability of finding a middle manager with a weekly income of between k840 & k900?