Question

A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the

Answer 1

Answer:

$P(x < 7) = 0.383$

Step-by-step explanation:

Given

See attachment for plot

Required

Determine the probability that few than 7 boxes will be needed.

This is represented as:

$P(x < 7)$

And the solution is:

$P(x < 7) = P(x = 4) + P(x = 5) + P(x = 6)$

Each probability is calculated by dividing the number of dots by the total dots.

So, we have:

$P(x < 7) = \frac{n(x = 4) + n(x = 5) + n(x = 6)}{Total}$

From the attached, the formula becomes:

$P(x < 7) = \frac{4 + 6 + 3}{4+6+3+4+4+6+3+2+1+2+0+1}$

$P(x < 7) = \frac{13}{36}$

$P(x < 7) = 0.361$