Suppose that 90% of days are sunny in los angeles. when it's sunny, the probability that i bike to work is 75%. when it's not sunny, the probability that i bike to work is 25%. when i don't bike to work, i drive to work. if, on a randomly selected day, i am driving to work, what is the probability that it's a sunny day?

75%

Step-by-step explanation:

Probability of a day being sunny (P(S)) = 0.9

Probability of driving when sunny (P(Ds)) = 1-0.75 = 0.25

Probability of a day NOT being sunny (P(N) = 1- 0.9 = 0.1

Probability of driving when sunny (P(Dn)) = 1-0.25 = 0.75

The probability of a day being sunny given that the person is driving (S) is defined as the ratio between the probability of the person driving and the day being sunny by the probability of the person driving:

There is a 75% probability that it's a sunny day.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500