Paul, colin and brian are waiters. One night the restaurant earns tips totalling £77.50.They share the tips in the ratio 1:3:5. How much more does brian get over Paul?

£34.45

Step-by-step explanation:

Paul,colin and brian are waiters. One night the restaurant earns tips totalling £77.50.They share the tips in the ratio 1:3:5.

The sum of their Proportion is

1 + 3 + 5 = 9

For Brain

5/9 × £77.50 = £43.06

For Paul

1/9 × £77.50 = £8.61

Hence:

How much more does brian get over Paul?

This is calculated as:

£43.06 - £8.61

= £34.45

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

mathpapa

step-by-step explanation: