A barbershop requires appointments for perms and hair cuts. Ten percent of those making appointments cancel or simply fail to show up. Next week's appointment calendar has 64 appointments. Let x be the number of missed appointments out of the 64. The probability that more than 3 cancellations and/or no-shows will occur during the next week is:

The probability that more than 3 cancellations and/or no-shows will occur during the next week is: 0.8937

This involves binomial probability distribution with the formula;

P(X = x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

We are given;

p = 10% = 0.1

n = 64

q = 1 - p = 1 - 0.1

q = 0.9

We want to find the probability that more than 3 cancellations and/or no-shows will occur during the next week is given by;

P(X > 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X =3))

From online binomial probability calculator;

P(0) = 0.0012

P(1) = 0.0084

P(2) = 0.0293

P(3) = 0.0674

Thus;

P(X > 3) = 1 - (0.0012 + 0.0084 + 0.0293 + 0.0674 )

P(X > 3) = 1 - 0.1063

P(X > 3) = 0.8937

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0.8937

Step-by-step explanation:

This is a case of binomial probability with n = 64, p = 0.10 and x = 3.  This means that the probability of a cancellation is 10%.  Here, we can find the probability that more than 3 cancellations or no shows will occur by finding binompdf(64,0.10, 0) + binompdf(64,0.10, 1) + binompdf(64,0.10, 2) + binompdf(64,0.10, 3) and then subtracting this sum from 1.000.  

We get:    0.0012 + 0.0084 + 0.0293 + 0.0674 = sum = 0.1063

Then the desired probability is 1.0000 - 0.1063 = 0.8937

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

dont think so

step-by-step explanation: