7. Suppose that diameters of a new species of appl i e have a bell-shaped distri

Question

7. Suppose that diameters of a new species of appl i e have a bell-shaped distribution with a mean of 7.25 cm and a standard nof 0.42 cm. Using the empirical rule, what percentage of apples have diameters that are no more than 6.41 cm? Please do not round your answer -0.9912 0,0228 8. The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 38 hours and the median is 34.2 hours. Twenty-four of the families in the sample turned on the television for less than 23 hours for the week. The 14th percentile of the data is 23 hours. Step 1. The 53rd percentile is less than 33 hours. Step 2. Approximately how many families are in the sample? Round your answer to the nearest integer. Step 3. Approximately 86 families turned on their televisions for less than 38 hours Step 4. What is the value of the 50 percentile? Step 5. The first quartile is greater than or equal to 23 hours There are 124 identical plastic chips numbered I through 124 in a box. What is the probability of reaching into the box randomly drawing the chip numbered places. 9. 34? Express your answer as a fraction or a decimal number rounded to four deci A box contains 41 red marbles, 24 white marbles, and 5 blue marbles. If a marble is randomly selected from the box ha nrohahility that it is white or blue? Express your answer as a fraction or a decimal number rounded to four decin 10.

Explanation / Answer

Ans:

7)

mean=7.25

standard deviation=0.42

6.41 is 2 standard deviations away from the mean(7.25-2*0.42=6.41)

Empirical rule says that 95% of the data lies within 2 standard deviation of the mean.

As,bell curve is symmetrical,divide the 95% by 2 i.e. 47.5% of the data is between 6.41 and 7.25.

Now,subtract 47.5% from 50% i.e. 50-47.5=2.5%

i.e. 2.5% of the apples have diameter no more than 6.41 (or less than equal to 6.41)

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