The advertised weight of a can of soup is 9 ounces. The...

The advertised weight of a can of soup is 9 ounces. The actual weight of a can of soup follows a uniform distribution and varies between 8.7 and 10.05. The probability density function gives a value of between 8.7 and 10.05 ounces of soup and a value of for all other values for ounces of soup. The probability that a can of soup weighs exactly 9 ounces is The probability that a can of soup weighs less than 9 ounces is

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00:01 Hi, i'm david and i'm here to have you answering your question.

00:03 Let me bring up your question here.

00:08 Now in this question we will review about the normal distribution.

00:13 We continue that it will have x followed by the normal with the mule and the standard deviation.

00:20 Then we can take the x minus the mean divided by standard deviation.

00:25 It will follow by the standard normal.

00:27 Now in this question we're given the x, it will be the the weight and it will follow by the normal with the mean equal to 15 standard division equal to 0 .4.

00:44 Now in the part a we want to find the probability that the weight will be greater than 15 .7 so it means that x greater than 15 .7.

00:57 Now the first time we need to turn this one into the standard normal x into z.

01:02 In order to do that, i have to turn the 15 .7 minus the mean.

01:06 We have here will be 15 of standard deviation equal to 0 .4.

01:11 There's going to be 5 here.

01:13 And then if we do the calculation, it will equal to the probability z bigger than.

01:20 Here we have 0 .7, depending by 0 .4, equal to 1 .75.

01:26 Now to find this probability, i will bring up the z table.

01:29 I will show you how to use the z table here and put the z table on the right here.

01:40 And look at the z table, we want to have the z greater than 1 .75...

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