Emery Adams

Questions

• What are the mean and standard deviation of the probability density function given by #p(x)=k(1-xe^(x) )# for # x in [0,3]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
• If a spinner is divided into 8 equal sections and you spin it twice, what is the probability of spinning a sum of 7?
• How do you pick out the numbers to use with a box and whisker plot when you have all the quartiles, and smallest and largest numbers?
• A small pond contains five catfish and four bluegill. If five fish are caught at random, what is the probability that all of them are catfish?
• Five cards are dealt from a standard deck of 52 cards. How many different 5-card hands will contain all hearts?
• How do I show that the probability of it being blue is 5/28 ?
• What is the probability of rolling a number 5 on a fair number cube ?
• What is #P(x)# for #n=4, x=1, p= .6#?
• What is #P(x)# for #n=3. x = 0, p = 0.8 #?
• For random variables #X# and #Y#. What is #"Var"(X+Y)# in terms of #"Var"(X)# and Var(Y)?
• A bin contains 71 light bulbs, of which 9 are defective. If 6 light bulbs are randomly selected from the bin without replacement of the selected bulbs, what is the probability that all of the selected bulbs are good?
• What are the mean, median, and mode salaries of a baseball team where the 24 players earn the following annual salaries: 2 players at $14.6 million; 4 at $7.45 million; 4 at 3.93 million; 5 at $450,000; 2 at $390,000 and 7 at $200,000?
• Suppose that you toss a coin three times and roll three dice. What is the probability of obtaining two tails, one five, and at least one dice roll of less than three?
• If two fair coins are tossed, what is the probability of getting two heads?
• A coin is tossed 4 times, what is the probability of NOT getting 2 heads?
• You roll two balanced dice one time. What is the probability that you obtain either a sum of 8 or the same number on each of the two dice?
• What are the mean and standard deviation of a binomial probability distribution with #n=114 # and #p=3/49 #?
• How is Bayes' Theorem used to solve complex probability questions?
• Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if the first letter must be Y?
• In a survey of 1118 people, 732 people said they voted in a recent presidential election. Given that 63% of eligible voters actually did vote, what is the probability that among the 1118 randomly selected voters , at least 732 actually did vote?
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