Binomial and Normal

(2 marks) From the given graph of Normal distribution, determine:

(a) Mean = --2 and standard deviation = 0.707 is graph ....

(b) Mean = 0 and standard deviation = 0.447 is graph ...

[1 mark]

The price per kilogram of tomatoes, in euro, sold in various markets in a city is found to be normally distributed with a mean of 3.22 and a standard deviation of 0.84.

Find the price that is two standard deviations above the mean price.

[1 mark]

The mass of a certain type of Chilean corncob follows a normal distribution with a mean of 400 grams and a standard deviation of 50 grams.

Write down the probability that the mass of one of these corncobs is greater than 400 grams.

[2 scores]
An archer has a 90% chance of hitting a target with each arrow. If 5 arrows are fired, determine the chance of hitting the target twice only.