Afair die will be rolled 11 times. what is the probability that an odd number is rolled exactly 7 times?

0.161

Step-by-step explanation:

Given:

Number of trials,

Consider the event of rolling odd number as success. There are 3 odd and 3 even numbers in a fair die.

So, probability of success,

Probability of failure,

Number of successes,  

From Bernoulli's Theorem, the probability of successes in trials is given as,

Here,

So,

Therefore, the probability of getting an odd number exactly 7 times is 0.161.

Marisa’s monthly mortgage payment is $1036

Step-by-step explanation:

The cost of the house is $250,000.

The down payment made is $55,000. The balance to be paid would be

250,000 - 55,000 = $195000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $195000

r = 0.049/12 = 0.00408

n = 12 × 30 = 360

Therefore,

P = 195000/[{(1+0.00408)^360]-1}/{0.00408(1+0.00408)^360}]

195000/[{(1.00408)^360]-1}/{0.00408(1.00408)^360}]

P = 195000/{4.33 -1}/[0.00408(4.33)]

P = 195000/(3.33/0.0177)

P = 195000/188.14

P = $1036