Answer:
The probability that exactly three of them are comfortable with delivery by drones is 0.2583.
Step-by-step explanation:
Let <em>X</em> = number of consumers comfortable having drones deliver their purchases.
The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.43.
Then <em>q</em> is, <em>q</em> = 1 - p
A sample of <em>n</em> = 5 consumers are selected.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The pmf of <em>X</em> is:
![P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%7Bn%5Cchoose%20x%7Dp%5E%7Bx%7D%281-p%29%5E%7Bn-x%7D%3B%5C%20x%3D0%2C1%2C2%2C3...)
Compute the value of P (X = 3) as follows:
![P(X=3)={5\choose 3}0.43^{3}(1-0.43)^{5-3}\\=10\times 0.079507\times 0.3249\\=0.258318\\\approx0.2583](https://tex.z-dn.net/?f=P%28X%3D3%29%3D%7B5%5Cchoose%203%7D0.43%5E%7B3%7D%281-0.43%29%5E%7B5-3%7D%5C%5C%3D10%5Ctimes%200.079507%5Ctimes%200.3249%5C%5C%3D0.258318%5C%5C%5Capprox0.2583)
Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.
Answer:
im here
Step-by-step explanation:
Answer:
There are two possible values for r (area): r =-7 or r=3
Step-by-step explanation:
Given the rectangular rug area is:
We have to convert the above equation into factored form.
So two numbers whose product is -21r² and sum is -4r
<=>
= ![r^{2} -7r + 3r -21](https://tex.z-dn.net/?f=r%5E%7B2%7D%20-7r%20%2B%203r%20-21)
= r (r -7) + 3(r -7)
= (r-7)(r+3)
We set
= 0
<=> (r-7)(r+3) = 0
<=> (r-7) = 0 or (r+3) = 0
<=> r =-7 or r=3
So, there are two possible values for r (area): r =-7 or r=3
Answer:
the answer is 5
Step-by-step explanation:
15/3=5
2/2=1
5×1=5