eters of a new species of apple have a bell-shaped distribution with a mean of 7

Question

eters of a new species of apple have a bell-shaped distribution with a mean of 7,25 cm and a standard cm. Using the empirical rule, what percentage of apples have diameters that are no more than 6.41 cm 7. empirical ru Please do not round your answer. 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 t 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 A) True Step 3. Approximately 86 families turned on their televisions for less than 38 hours. B) False Step 4. What is the value of the 50h percentile? A) Truc B) False 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 and randomly drawing the chip numbered 34? Express your answer as a fraction or a decimal number rounded to four decimal places. A) True B) False A box contains 41 red marbles, 24 white marbles, and S blue marbles. If a marble is randomly selected from the box, what is the probability that it is white or blue? Express your answer as a fraction or a decimal number rounded to four decimal places A box contains 17 large marbles and 14 small marbles. Each marble is either green or white. 10 of the large marbles are green, and 4 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Write your answer as a fraction or a decimal number rounded to four decimal places.

Explanation / Answer

Question 7:

Mean is 7.25 and standard deviation is 0.42

z can be calculated using (x-mean)/sd

Here it is given that we need to find P(x<6.41)

Thus it is P(x<6.41)=P(z<(6.41-7.25)/0.42)=P(z<-2) or 1-P(z<2)

We know that P(z<2) is 0.9772 (from normal distribution table or using empirical rule were 95% of the data is between -2 and 2, thus 95/2 or 47.5 is between 0-2 and and we know that from -3 to 0 it is 50% so total is 97.5% which is less than 2)

Thus answer is 1-0.9772 =0.0228

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