A die with six faces numbered one through six is tossed 200 times. Let X be the number of time a six appears. i. a. Using an appropriate approximation find the probability of the number six appearing more than 40 times. b. Using an appropriate approximation find P(\X – µl < 2a). c. Suppose the number of tosses is m times and the probability of getting six more than 40 times is given at least 0.3. Estimate the minimum value of m.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 5A
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i. A die with six faces numbered one through six is tossed 200 times. Let X be the
number of time a six appears.
a. Using an appropriate approximation find the probability of the number six
appearing more than 40 times.
b. Using an appropriate approximation find P(\X – µl < 2a).
c. Suppose the number of tosses is m times and the probability of getting six
more than 40 times is given at least 0.3. Estimate the minimum value of m.
Transcribed Image Text:i. A die with six faces numbered one through six is tossed 200 times. Let X be the number of time a six appears. a. Using an appropriate approximation find the probability of the number six appearing more than 40 times. b. Using an appropriate approximation find P(\X – µl < 2a). c. Suppose the number of tosses is m times and the probability of getting six more than 40 times is given at least 0.3. Estimate the minimum value of m.
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