A coin is weighted so that the probability of obtaining a head in a single toss is 0.7. If the coin is tossed 20 times, find the following probabilities. (Round your answers to four decimal places.) (a) fewer than 10 heads (b) between 10 and 15 heads, inclusive (c) more than 19 heads

A coin is weighted so that the probability of obtaining a head in a single toss is 0.7. If the coin is tossed 20 times, find the following probabilities. (Round your answers to four decimal places.) (a) fewer than 10 heads (b) between 10 and 15 heads, inclusive (c) more than 19 heads

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 1E

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Question

Use the appropriate normal distribution to approximate the resulting binomial distribution.

A coin is weighted so that the probability of obtaining a head in a single toss is 0.7. If the coin is tossed 20 times, find the following probabilities. (Round your answers to four decimal places.)

(a) fewer than 10 heads

(b) between 10 and 15 heads, inclusive

(c) more than 19 heads

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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