Q10 - investigate

A nutritionist who investigates fruits reported that the average weight of a raspberry is 4.4 g with a standard deviation of 1.28 g. What is the probability that a randomly selected raspberry would weigh less than 3.1 grams?

Let X represent the weight of a randomly selected raspberry. Assume the distribution of weights is approximately normal. Find P( X < 3.1).

Round your answer to two decimal places.

Correct answer:

p =  0.16

Step-by-step explanation:

m=4.4 g σ=1.28 g  p=P(x<3.1g) m1=mσ=4.41.28=2578=3253=3.12 g m2=m2 σ=4.42 1.28=2546=12521=1.84 g m3=m3 σ=4.43 1.28=2514=0.56 g  p=210.6827=0.16

Use the normal distribution table.

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Showing 1 comment:
Math student
it says round your answer to 2 decimal places, but marks 0.16 wrong (solution says 0.1587 which would round to 0.16). In addition I think the solution is also wrong, (3.1-4.4)/1.2 = -1.015625 which would be more like -1.01 or -1.02 on a ztable, 0.1587 is the ztable value for -1.00 which seems wrong to me.

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