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LenaWriter [7]
3 years ago
7

Find the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50%.

Mathematics
1 answer:
posledela3 years ago
8 0

Answer: 31.25%

Two ways to solve this problem:

#1: Use the formula: P(X=x)={n}Cx_{} *p^{x}*(1-p)^{n-x}

#2 Use a graphing calculator and use the function binompdf(n, p, x)

  • x = 3
  • n = 6
  • p = 0.5

#1: Formula:

P(X=3)=_{6}C_{3}*0.5^{3} *(1-0.5)^{6-3}=\frac{6!}{3!(6-3)!} *0.5^{3} *0.5^{3}\\=\frac{6!}{3!*3!} *0.5^{3} *0.5^{3}=20*0.125*0.125=0.3125

#2: Faster method

binompdf(6, 0.5, 3) = 0.3125

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Answer:

I believe it would be -3,4.

Step-by-step explanation:

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4 0
3 years ago
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What is the value of x? Please provide an explanation, thanks!
Novosadov [1.4K]

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28

Step-by-step explanation:

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4 0
3 years ago
Missing pattern 24,21, blank 15 blank ,blank
never [62]
To figure out this pattern, let's see if there's a constant rule that this sequence follows.
From 24 to 21, you're subtracting 3.
Let's try n-3, and fill in the blanks as we go.
24 - 3 = 21.
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It seems that n-3 works as a rule, so your rule is:
N-3.
The missing blanks are:
18, 12, and 9.
I hope this helps!
8 0
3 years ago
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