Answer:
a) 0.50575,
b) 0.042
Step-by-step explanation:
Example 1.5. A person goes shopping 3 times. The probability of buying a good product for the first time is 0.7.
If the first time you can buy good products, the next time you can buy good products is 0.85; (I interpret this as, if you buy a good product, then the next time you buy a good product is 0.85).
And if the last time I bought a bad product, the next time I bought a good one is 0.6. Calculate the probability that:
a) All three times the person bought good goods.
P(Good on 1st shopping event AND Good on 2nd shopping event AND Good on 3rd shopping event) =
P(Good on 1st shopping event) *P(Good on 2nd shopping event | Good on 1st shopping event) * P(Good on 3rd shopping event | 1st and 2nd shopping events yield Good) =
(0.7)(0.85)(0.85) =
0.50575
b) Only the second time that person buys a bad product.
P(Good on 1st shopping event AND Bad on 2nd shopping event AND Good on 3rd shopping event) =
P(Good on 1st shopping event) *P(Bad on 2nd shopping event | Good on 1st shopping event) * P(Good on 3rd shopping event | 1st is Good and 2nd is Bad shopping events) =
(0.7)(1-0.85)(1-0.6) =
(0.7)(0.15)(0.4) =
0.042
To find 86% of 50, you do 50*.86 (because .86 is the decimal form of the percentage 86%)
50*.86=43 people
Hope this helps
Your answer is 250,000. There are two ways to do this problem.
1) Solve 500/4 to find out how many sheets of paper you get per every dollar. — Your answer is 125 sheets for $1. Then you multiply that answer by 2000, and get 250,000. Which means you get 250,000 sheets of paper for $2000.
2) You can divide 2000 by 4 & that gets you 500, you can then multiply that by 500 & you will get 250,000.
Hope this helps.
11/3....this is rational because it is a fraction
sqrt 48.....irrrational because it cant be made into a fraction
6.25....rational
0.01045....if this terminates(ends), it is rational
sqrt 16/81....rational because it equals 4/9
sqrt 3/16....irrational
0.42...rational
16pi....irrational
1,3,5 because they are all negatives less than -3
