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ratelena [41]
3 years ago
12

Suppose that you flip a coin 13 times. What is the probability that you achieve at least 5 tails?

Mathematics
1 answer:
wariber [46]3 years ago
5 0
Heads, or tails. It's 1/2 a chance, because either way you will either land heads or tails. It would be a probability of 1-(1/2)^5. Can you solve that?
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At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51.
satela [25.4K]

Answer:

P(x\geq 7)=0.1886

Step-by-step explanation:

The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.

So, the probability that x customers will order a nonalcoholic beverage is:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

P(x)=\frac{10!}{x!(10-x)!}*0.51^{x}*(1-0.51)^{10-x}

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

P(x\geq 7)=P(7)+P(8)+P(9)+P(10)

Where:

P(7)=\frac{10!}{7!(10-7)!}*0.51^{7}*(1-0.51)^{10-7}=0.1267\\P(8)=\frac{10!}{8!(10-8)!}*0.51^{8}*(1-0.51)^{10-8}=0.0494\\P(9)=\frac{10!}{9!(10-9)!}*0.51^{9}*(1-0.51)^{10-9}=0.0114\\P(10)=\frac{10!}{10!(10-10)!}*0.51^{10}*(1-0.51)^{10-10}=0.0011

So, P(x\geq 7) is equal to:

P(x\geq 7)=0.1267+0.0494+0.0114+0.0011\\P(x\geq 7)=0.1886

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886

5 0
3 years ago
If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are simi
tiny-mole [99]
Yes the triangles are similar. It’s true
8 0
3 years ago
Please help plssssssss​
dolphi86 [110]

Answer:

27% i think

Step-by-step explanation:

6 0
3 years ago
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What is the equation of a line with a slope of 7 and a point (1, 8) on the line?
Montano1993 [528]

8=m+7

m=1

so

y=x+7

that is the equasion

6 0
3 years ago
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An article bought for rupees 350 is sold at a profit of 20% find its selling price​
Mice21 [21]

Answer:

420

Step-by-step explanation:

20 percent of 350 is 70, so adding that on will give us the price it is sold at for profit of 70 (20%).

3 0
3 years ago
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