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melomori [17]
3 years ago
7

A store manager determines that, on average, it takes Jemel 26.1 seconds to fold and put away 1 shirt. The manager uses a clock

that measures time to the tenths of a second. Jemel must fold and put away 48 shirts
Mathematics
1 answer:
Furkat [3]3 years ago
3 0
<span>This problem is an example of ratio and proportion. A ratio is a comparison between two different things. You are given the time of about 26.1 seconds to fold 1 shirt. Also you are given 48 shirts. You are required to find the time in seconds to fold 48 shirts. The solution of this problem is,</span>  
<span>
26.1 seconds /1 shirt = time/ 48 shirts</span>
<span>time = (48 shirts) (26.1 seconds /1 shirt)</span>
<span>time<u> = 1,252.8 seconds</u></span>
<u>The time it takes to fold 48 shirts is 1,252.8 seconds.</u>
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Answer:

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c)

What is the probability that 105 or fewer people in this sample have had chickenpox in their childhood?

The probability that 105 or fewer people in this sample have had chickenpox in their childhood is

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We compute this value easily with a spreadsheet and we get

\large \sum_{k=0}^{105}\binom{120}{k}0.9^k0.1^{120-k}=0.218163\approx 21.82\%

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How does this probability relate to your answer to part (b)?

A binomial distribution with np>5 and nq>5 with n the sample size as is the case here, behaves pretty much like a Normal distribution with mean np and standard deviation \large \sqrt{npq}, so around 60% of the data are in the interval  [mean -s, mean +s] and 40% outside, so roughly <em>20% of the data should be in [0, mean-s] </em>

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