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1. Redundancy in Aircraft Radios-The FAA requires that commercial aircraft used for flying in instrument conditions must have two independent radios instead of one. Assume that for a typical flight, the probability of a radio failure is 0.0035.
What is the probability that a particular flight may be safe with at least one working radio? Why does the usual rounding rule of three significant digits not work here? Is this probability high enough to ensure flight safety?
2. Illinois lottery
a. In the Illinois Little lotto game, you win the jackpot by selecting five different whole numbers from 1-39 and getting the same five numbers (in any order) that are later drawn. What is the probability of winning a jackpot in this game?
b. In the Illinois Pick 3 game, you win a bet by selecting three digits (with repetition allowed) and getting the same three digits in the exact same order as they are later drawn. What is the probability of winning this game?
c. The Illinois pick 3 game returns $500 for a winning $1 ticket. What should be the return if Illinois were to run this game for profit?
Testout the significance of the sample correlation also develop regression equation with scatter plot. Calculate chi-square is less than the critical value
Scrap rates per thousand (parts whose defects cannot be reworked) are compared for 5 randomly selected days at three plants. Does the data prove a significant difference in mean scrap rates?
do males and females differ in the amounts they spend on valentines day? the average expenditure in a sample of 40 male
Two independent samples of sizes 16 and 26 were taken. In a test of equality of population means of the two samples, how many degrees of freedom are associated with the critical t-value?
You have 4 jars. In the largest jar you have three balls numbered 1 to 3. Then you have 3 colored jars. Jar 1 has a red ball and two orange balls.
Suppose that combined verbal and math SAT scores follow a normal distribution with mean 896 and standard deviation 174. Suppose further that Peter finds out that he scored in the top 3% of SAT scores. Determine how high Peter's score must have bee..
Define the decision rule. Calculate the value of the test statistic.
a car company conducted a study to understand the relationship between age groups and drivers primary vehicles. their
Seventy new jobs are opening up at an automobile manufacturing plant
A loaf of bread is normally distributed with a mean of 22 oz and a standard deviation of 0.5 oz. What is the probability that a loaf is more than 22.25 oz?
Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer.
Formulate and test an appropriate set of hypotheses to determine if the machine can be qualified. Use a = 0.05. Find the P-value.
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