Mike has 16 baseball cards. Niko has 17 times as many baseball cards as Mike does. How many baseball cards does Niko have?

Mathematics

2 answers:

Gnom [1K]4 years ago

8 0

16*17=272 Hope this helps :3

Fofino [41]4 years ago

5 0

16 * 17 = 272 Baseball cards

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In a binomial distribution, n = 12 and π = .60.

Lemur [1.5K]

For binomial distribute we use formula

$nCr (p)^r (q)^{n-r}$

the probability mass function of the binomial distribution is:

$nCr (\pi)^r (1-\pi)^{n-r}$

Given n = 12 and π = .6. (Replace the values)

the probability for x = 5, we need to find P(x=5). Here r= 5

P(x=5)= $12C5(\pi )^5 (1-\pi)^{12-5}$

= $12C5(0.6 )^5 (0.4)^{7}$ = 0.10090 = 0.101

(b) the probability for x ≤ 5

P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)

P(x<=5) = $12C0(0.6 )^0(0.4)^{12}$ + $12C1(0.6 )^1(0.4)^{11}$ + $12C2(0.6 )^2(0.4)^{10}$ + $12C3(0.6 )^3(0.4)^{9}$ + $12C4(0.6 )^4(0.4)^{8}$ + $12C5(0.6 )^5 (0.4)^{7}$

= 0.15821229 = 0.158

P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)

P(x>=6) = $12C6(0.6 )^6(0.4)^{6}$ + $12C7(0.6 )^7(0.4)^{5}$ + $12C8(0.6 )^8(0.4)^{4}$ + $12C9(0.6 )^9(0.4)^{3}$ + $12C10(0.6 )^{10}(0.4)^{2}$ + $12C11(0.6 )^{11}(0.4)^{1}$ + $12C12(0.6 )^{12}(0.4)^{0}$