Question

1) Draw a card 8 times from a shuffled deck, with replacement. What is the probability that at least 5 of the draws will be face cards?
2) Roll a six-sided die 8 times. What is the probability that 6 will appear at least 5 times?
3) The probability that a random newborn is male is roughly 0.51 . What is the probability that at least 2 of 4 newborns will be male?

Answer 1

at least 5 times means 5, 6, 7, or 8
have to compute them all, then add

Answer 2

i see

Answer 3

if you put \(x\) as the number of face cards drawn in 8 tries, do you know how to compute \[P(x=5)\]?

Answer 4

note i need to some hint

Answer 5

binomial

Answer 6

\[P(x=k)=\binom{n}{k}p^k(1-p)^{n-k}\] is the formula

Answer 7

k

Answer 8

n= 8 and k= 5?

Answer 9

yes

Answer 10

p=?

Answer 11

you know how many face cards in a deck?

Answer 12

16?

Answer 13

12

Answer 14

12 is right, three of each suit

Answer 15

j ,k q

Answer 16

right
and how many cards in the deck?

Answer 17

52

Answer 18

so \(p=\)?

Answer 19

p= 52?

Answer 20

???

Answer 21

p is a probability
has to be a number between zero and one
there are 13 face cards and 52 cards total, so what is the probability you draw a face card?

Answer 22

13 face card?

Answer 23

draw the card 8 time

Answer 24

i sense you are lost

Answer 25

the p in the binomial distribution is the probability you get a success on any ONE trial

Answer 26

k

Answer 27

in this case p is the probability you draw a face card on one pick

Answer 28

from those pick 5 of those will be face. that wat it mean ?

Answer 29

no

Answer 30

p is the probability you draw a face card on one pick

Answer 31

k

Answer 32

i don't know another way to say it

Answer 33

pick a card
what is the probability it is a face card?

Answer 34

1/13

Answer 35

no there are 3 per suit, so \(\frac{3}{13}\)

Answer 36

\[\left(\begin{matrix}8 \\ 5\end{matrix}\right)\frac{ 3 }{ 13 }^5(1-\frac{ 3 }{ 5 })^3\]

Answer 37

3/13 mistype

Answer 38

\[56 \frac{ 243 }{ 371293 }(\frac{ 1000 }{ 2197 })\]

Answer 39

somehow i got 0.01668, I may be wrong