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Someone offers you a game of unbiased coin toss, where you win 111 USD on tails, and lose 85 USD on heads. What is the expected value of one such toss?
1. You will throw a fair coin 6 times, and will win on heads and lose on tails. Denoting a 'win' as a 1, and a loss as a '0', what is the probability of getting the following ordered sequence of win
The mean IQ is 100, with a standard deviation of 14. Suppose IQ scores are normally distributed. If your IQ is 116, what is your percentile rank?
At a convenience store the amount of money customers spend has a right -skewed distribution with mean $6.42 and standard deviation $3.82. If randomly select 100 customers and record the amount these
From past experience it is known that 90% of one-year old children can distinguish their mother's voice from the voice of a similar sounding female. A random sample of 20 one-year olds is given this
Find the mean, variance and standard diviation of the binomial distribution with the given values of n and p
A market-research firm has discovered that 30% of the people who earn between $25,000 and $50,000 per year have bought a new car within the past two years. Answer the following questions about a sam
Determine the appropriate division of the stakes in a series between two players if the first player is lacking three games to win and the second four.
If they stop play when the first players needs one game while the second and third players each need two games, find the fair division of the stkeas. (This probem was discussed in the cprrespondence
Determine whether the following statement is true or false, and justify your answer: If E and F are mutually exclusive events, then the sum of the chance of E occurring and the chance of F occurring
Moreover, the correlation between male and female life expectancies was found to be 0.95. Use this information to estimate female life expectancy in a country where the male life expectancy is 62.8
The ages and heights of a sample of child smokers were taken. The average age was 13.5 years, with an SD of 2.3 years. The average height was 167.5 cm, with an SD of 8.2 cm. Moreover, the correlatio
Heights of men on a baseball team bell-shaped distribution wit ha mean of 183 cm and a standard deviation of 6 cm. Using the empirical rule, what is the approximate percentage of men between the fol
Is their sufficient evidence at a .01 level of significance that the average male height now exceeds 5.76 feet? Using Lance's sample, construct a 95% confidence interval for the current population mea
At a .05 level of significance, does the data from the survey show that the percentage of frequent fliers who have had difficulty in upgrading to first class is now less than 71%?
Describe the error in the conclusion. Given: There is a linear correlation between the number of cigarettes smoked and the pulse rate. As the number of cigarettes increases the pulse rate increases.
Five fabric samples were selected, and a randomized complete block design was run by testing each chemical type once in random order on each fabric.
Listed below are ages of actresses and actors from a country at the times that they won a certain award. The data are paired according to the years that they won.
From a box containing five white and four red balls, two balls are selected at random without replacement. Find the probabilities of the following events.
What is the expected number of good grapefruit in a sack? What is the standard deviation of the r-probability distribution?
There are 40 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen exam paper is a random variable wit
If n = 20 and x = 3, what is the mle of the probability (1 - p)^5 that none of the next five tests done on disease-free individuals are positive?
The mean and the standard deviation of the sample of 100 bank customer waiting times in Table 1.8 are (xbar=5.49) and s=2.317. Calculate a t-based 95 percent confidence interval for U, the mean of a