A bakery produces loaves of bread whose weights, $W$ grams, follow a normal distribution with mean $g800\text{ g}$ and standard deviation $g25\text{ g}$ .

Estimate the proportion of loaves that weigh more than $g840\text{ g}$ .

The bakery classifies loaves into three categories: Small, Standard, and Large, such that there is an equal proportion of loaves (exactly $13\frac{1}{3}$ ) in each category.

Find the weight limits that define the 'Standard' category.

A loaf is selected at random from the 'Large' category.

Find the probability that this loaf weighs less than $g830\text{ g}$ .

A customer selects a random sample of 3 loaves from the bakery's total production.

Find the probability that there is exactly one loaf from each of the three categories.

A bakery produces loaves of bread whose weights, $W$ grams, follow a normal distribution with mean $g800\text{ g}$ and standard deviation $g25\text{ g}$ .

Estimate the proportion of loaves that weigh more than $g840\text{ g}$ .

The bakery classifies loaves into three categories: Small, Standard, and Large, such that there is an equal proportion of loaves (exactly $13\frac{1}{3}$ ) in each category.

Find the weight limits that define the 'Standard' category.

A loaf is selected at random from the 'Large' category.

Find the probability that this loaf weighs less than $g830\text{ g}$ .

A customer selects a random sample of 3 loaves from the bakery's total production.

Find the probability that there is exactly one loaf from each of the three categories.

3.2 Finding Probabilities for Normal Distributions

Question 13

Markscheme

3.2 Finding Probabilities for Normal Distributions

Question 13

Markscheme

3.2 Finding Probabilities for Normal Distributions

Question 13

3.2 Finding Probabilities for Normal Distributions Questions

3.2 Finding Probabilities for Normal Distributions

Question 13

3.2 Finding Probabilities for Normal Distributions Questions