(a) Explanation Graph: According to the provided details, the number of households with children under the age of 2 buyphoto gear, r follows the binomial distribution with the probability of success in a single trial ( p ) is 0.80 and the number of trials ( n ) are10. Consider, the probability values provided in Table 2 of the appendix for n = 10 and p = 0.80 . The probability values for r = 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 are 0.000, 0.000, 0.000, 0.001, 0.006, 0.026, 0.088, 0.201, 0.302, 0.268, 0.107, respectively. Follow the steps given below to obtain the histogram: Step 1: Place the values of r - 0, 1, 2, 3, 4, 5, 6,7, 8, 9 and 10 on the horizontal axis. Step 2: Place the values of P ( r ) -0.000, 0.000, 0.000, 0.001, 0.006, 0.026, 0.088, 0.201, 0.302, 0.268 and 0.107 on the vertical axis. Step 3: Construct a bar over each of the r values (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10) ranging from r − 0.5 to r + 0.5 . The height of the corresponding bar is P ( r ) . The histogram for the binomial distribution for n = 10 and p = 0 (b) To determine To graph: The histogram and find the mean and standard deviation of the probability distribution of r . (c) To determine To explain: Whether featuring ads of parents taking pictures of toddlers can be justified.

Bundle: Understanding Basic Statistics, Loose-leaf Version, 7th + WebAssign Printed Access Card for Brase/Brase's Understanding Basic Statistics, ... for Peck's Statistics: Learning from Data

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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Chapter 6.3, Problem 11P

(a)

To determine

To graph: The histogram and find the mean and standard deviation of the probability distribution of r.

(b)

To determine

To graph: The histogram and find the mean and standard deviation of the probability distribution of r.

(c)

To determine

To explain: Whether featuring ads of parents taking pictures of toddlers can be justified.

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Bundle: Understanding Basic Statistics, Loose-leaf Version, 7th + WebAssign Printed Access Card for Brase/Brase's Understanding Basic Statistics, ... for Peck's Statistics: Learning from Data

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To graph: The histogram and find the mean and standard deviation of the probability distribution of r .

Solution Summary: The histogram for the binomial distribution is shown in Table 2 of the appendix.

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To graph: The histogram and find the mean and standard deviation of the probability distribution of r.

To graph: The histogram and find the mean and standard deviation of the probability distribution of r.

To explain: Whether featuring ads of parents taking pictures of toddlers can be justified.

Chapter 6 Solutions