2.4.13 Model with probability distributions

The weights of bags of sugar, $W$ grams, are normally distributed such that $\sim \text{N}(\mu, 1.2^2)$ .

Given that $25%25\%$ of the bags weigh more than $502$ grams, find the value of $μ\mu$ to the nearest $0.1$ g.

[4]

An employee selects $15$ bags at random.

Find the probability that fewer than $2$ of these bags weigh more than $502$ grams.

[3]

A wholesaler selects $200$ bags at random.

Using a suitable approximation, find the probability that more than $55$ of these bags weigh more than $502$ grams.

[4]

2.4.13 Model with probability distributions Questions