At tech express, 40% of the customers purchases small coffee and 60% purchases medium. of those customers purchasing small coffee, 30% prefer decaf. of those purchasing medium coffee, 50% prefer decaf.

(a) what is the probability that the next customer will request medium and decaf coffee?
(b) what is the probability that the next customer prefers decaf?
(c) if the next customer prefers decaf, what is the probability that small is requested?

Answer and explanation:

Given : At Tech Express, 40% of the customers purchases small coffee and 60% purchases medium. Of those customers purchasing small coffee, 30% prefer decaf. Of those purchasing medium coffee, 50% prefer decaf.

Let customer purchase small coffee.

i.e.

customer purchase medium coffee.

i.e.

Let B be the customer purchase prefer decaf.

So,

(a) What is the probability that the next customer will request medium and decaf coffee?

i.e.

(b) What is the probability that the next customer prefers decaf?

i.e.

(c) If the next customer prefers decaf, what is the probability that small is requested?

i.e.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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