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Chapter 6: Q 19 (page 385)
Suppose X ~ N(4, 2). What value of x is 1.5 standard deviations to the left of the mean?
The value of x is 1
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About what percent of x values from a normal distribution lie within one standard deviation (left and right) of the mean of that distribution?
We flip a coin \(100\) times \((n = 100)\) and note that it only comes up heads \(20% (p = 0.20)\) of the time. The mean and standard deviation for the number of times the coin lands on heads is \(\mu=20\) and \(\sigma=4\) (verify the mean and standard deviation). Solve the following:
a. There is about a \(68%\) chance that the number of heads will be somewhere between ___ and ___.
b. There is about a ____chance that the number of heads will be somewhere between \(12\) and \(28\).
c. There is about a ____ chance that the number of heads will be somewhere between eight and \(32\).
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.
a. If distance in feet is for a fly ball, then
b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball will travel fewer than 220 feet? Sketch the graph. Scale the horizontal axis Shade the region corresponding to the probability. Find the probability.
c. Find the percentile of the distribution of fly balls. Sketch the graph, and write the probability statement.
A The distance of fly balls hit to the outfield in baseball is denoted as:
B: The probability that a randomly selected fly ball traveled fewer than 220 feet is given by
About what percent of values lie between the mean and three standard deviations?
齿词狈(鈥�)
What is the median?
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