Math1313-Section 8.6-S10-Blank

# Math1313-Section 8.6-S10-Blank - with npq np = = σ μ and...

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Math 1313 Section 8.6 1 Section 8.6 – Application of the Normal Distribution Example 1: According to the data released by the Chamber of Commerce of a certain city, the weekly wages of factory workers are normally distributed with a mean of \$400 and a standard deviation of \$50. Find the probability that a factory worker selected at random from this city makes a weekly wage of a. more than \$460? b. between \$350 and \$450? Theorem Suppose we are given a binomial distribution associated with a binomial experiment involving n trials, each with probability of success p and probability of failure q . Then if n is large and p is not close to 0 or 1, the binomial distribution may be approximated by a normal distribution

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Unformatted text preview: with npq np = = σ μ and . Example 2: Consider the following binomial experiment. A marksman’s chance of hitting a target with each of his shots is 60%. If he fires 30 shots, what is the probability of his hitting the target between 15 and 20 times, inclusive? On page 529-30 there is a detailed explanation about the .5 adjustment. Math 1313 Section 8.6 2 Example 3: Consider the following binomial experiment. A basketball player has a 75% chance of making a free throw. What is the probability of him making more than 100 free throws in 120 trials? Example 4: A fair coin is tossed 20 times. What is the probability of obtaining a. Fewer than 8 heads? b. More than 6 heads? c. Between 6 and 10 heads?...
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Math1313-Section 8.6-S10-Blank - with npq np = = σ μ and...

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