Question

@jim_thompson5910 can U help me with a couple probability questions

Answer 1

okay here is the first one

Answer 2

okay here is the first one ????

Answer 3

Approximately 3% of peanuts in a certain shipment are spoiled. If you randomly select 24 peanuts, what is the probability that exactly two are spoiled?

Answer 4

okay how abt this question: If a 6-sided die is rolled 8 times, what is the probability of getting exactly one 6? Give your answer to the nearest thousandth.

Answer 5

@Mertsj can u help me?

Answer 6

Wouldn't it be 1- probability of getting a "non-6"?

Answer 7

you can do it with binomial, have you done binomial?

Answer 8

yes but i need help

Answer 9

n=8, p= 1/6

Answer 10

So I think it would be 1-(5/6)^8

Answer 11

in this case you dont actually need it as its relatively simple to count the options

the possible outcomes, with "6" being a 6 and "N" being not a 6 :

NNNNNNN6
NNNNNN6N
NNNNN6NN
NNNN6NNN
NNN6NNNN
NN6NNNNN
N6NNNNNN
6NNNNNNN

so we have 8 possibilities each with (1/6)*((5/6)^7) probability

so 8* (1/6)*((5/6)^7)

alternatively using binomial

p = 1/6 , n = 8 , x = 1

\[P(X=x) = C(p^x(1-p)^{n-x})\]

where C is "n choose x"

so we have

P(X=1) = 8((1/6)((5/6)^7))

Answer 12

@Mertsj i think that would be " probability that there is at least one 6"

Answer 13

so 0.372

Answer 14

yes :)

Answer 15

Yes, you are correct, eigneschmeigen. I never was any good at probability.

Answer 16

can u help em with one more:

1.Two coins are tossed 20 times and the number of times that both of the coins land tails is recorded.
2. In a light-bulb manufacturing plant, the probability of a bulb being defective is 0.2%. A sample of 100 bulbs is chosen at random and the number of defective bulbs recorded.
3. A card is drawn from a well-shuffled standard deck of cards and the suit is recorded. This is repeated 10 times and the cards are not replaced after each draw.
4. A 10-question multiple-choice test has 4 possible answers for each question. A student guesses the first 9 answers randomly but is certain of the answer to the tenth question. The number of correct answers is recorded.
5. A basketball player makes 85% of her free throws. In a particular game she has 10 free throws. The number of free throws that she makes is recorded.

Answer 17

which is a binomial distribution

Answer 18

probability is tricky, always used to catch me out, one of my exams include probability recently so i'm a bit warmed up on it

Answer 19

@eigenschmeigen u live in canada.. if u dont mind me askin

Answer 20

no, i like in england. i have a few canadian friends though

conditions for X ~ B(n,p)

1: The number of observations n is fixed.
2: Each observation is independent.
3: Each observation represents one of two outcomes ("success" or "failure").
4: The probability of "success" p is the same for each outcome.

Answer 21

so 1,2,and 5

Answer 22

yeah i think so