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1. Lisa shoots at a target. The probability of a hit in each shot is 1/2. Given a hit, the probability of a bull's-eye is p. She shoots until she misses the target. Let X be the total number of bull's-eyes Lisa has obtained when she has finished shooting; find its distribution.
2. Karin has an unfair coin; the probability of heads is p (0 p 1). She tosses the coin until she obtains heads. She then tosses a fair coin as many times as she tossed the unfair one. For every head she has obtained with the fair coin she finally throws a symmetric die. Determine the expected number and variance of the total number of dots Karin obtains by this procedure.
significance level α = 0.01 and a degree of freedom = 11. In this situation, the null hypothesis that the observed distribution is the same as the expected distribution is?
Identify the sample and population. Also, determine whether the sample is likely to be representative of the population.
Quality Control A quality inspector checked for imperfections in rolls of fabric for one week. The random variable x represents the number of imperfections found.
six second-graders tried tossing a ball into a basket ten times each. their teacher then suggested a different way of
The data (in milliamps) are shown below. Using the .05 level of significance, are there any differences in the three categories.
The mean clotting time is 7.45 seconds with a standard deviation of 3.6 second. what is the probability that an individuals clotting time will be more than 4 seconds and less than 11?
A log-normal distribution results (which gets its name from the fact that if the logarithm is taken, the distribution becomes normal). But why is that plausible?
You are conducting a one-tailed or two-tailed test? Explain with an example and also state the Null and the Alternative hypothesis for the example in symbolic form.
one of the games in the texas lottery is to pay 1 to select a 3-digit number. every wednesday evening the lottery
Write the null and alternative hypotheses for testing if participants and non-participants differ in level of problem behavior (Y).
a machine is programmed to fill 10-oz. containers with a cleanser. however the variability inherent in any machine
The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 11 8 8 10 11 9 9 14 8 5 Find a 95% confidence interval for the population standard deviation Η
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