The weights of bags of ready to eat salad are normally distributed with a mean of 300 grams and a standard deviation of 9 gram.

what percent of the bags weigh less than 291 grams ?

1.) 34%
2.)13.5%
3.)16%
4.) 36.5%

In statistics, a normal distribution (also known as Gaussian, Gauss, or Laplace–Gauss distribution) is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is. Normal distribution. Probability density function.

We have

Normally distributed mean = 300 gams

Standard deviation = 9 grams

Bags weight less = 291 grams

z(291) = (291 - 300)/9

= -9/9

= - 1

P(x < 291) = P(z < -1)

= Normal (Gaussian) cumulative distribution (-100,-1)

= 0.1587

= 16%

Hence, the percentage of the bags weight is 16 %

Learn more about Normal (Gaussian) cumulative distribution from here

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The weights of bags of ready to eat salad are normally distributed with a mean of 300 grams and a standard deviation of 9 gram. what percent of the bags weigh less than 291 grams ? 1.) 34% 2.)13.5% 3.)16% 4.) 36.5%

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What is normal (Gaussian) cumulative distribution

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The weights of bags of ready to eat salad are normally distributed with a mean of 300 grams and a standard deviation of 9 gram.

what percent of the bags weigh less than 291 grams ?

1.) 34%
2.)13.5%
3.)16%
4.) 36.5%