With a mean of λ , the probability mass distribution (pmf) is given by
for λ = 4, and k<2 (i.e. k=0 or 1)
P(k<2, λ )=P(k=1, λ ) + P(k=1, λ )
=0.01832+0.07326
=0.09158 (to the fifth place of decimal)
Note: Poisson processes have no memory, so 2 calls in first hour has the same probability as 2 calls in any other hour.
Answer:
130 gallons initally, losing approx. 1.33333 gallons per minute, will be empty in approx 97.5 min
Step-by-step explanation:
1: y-intercept = (0, 130)
2: take two points (0, 130) & (30, 80)
use slope equation (80 - 130)/ (30 - 0) = -40/30 = -4/3
3: line equation is y=-4/3x+130
make y=0
0=-4/3x+130
-130=-4/3x
-130/-4/3=x
97.5=x
Answer:
7/40
Step-by-step explanation:
probability of taking 7 vehicles from 10 vehicles = 10C₇
number of ways taking 2 SUVs and 5 trucks = 3C₂* 7C₅ = 63
number of ways taking 3 SUVs and 4 trucks =3C₁*7C₄ = 35
number of ways taking 2 SUVs and 5 trucks or 3 SUVs and 4 trucks = 63 + 35 = 98
The probability that any 7 randomly chosen parking spots have 2 SUVs and 5 trucks or 3 SUVs and 4 trucks is = 98/120 = 49/60
number of ways taking 7 randomly chosen vehicles, exactly 1 is an SUV = 3C₁*7C₆ = 21
The probability that of any 7 randomly chosen vehicles, exactly 1 is an SUV is 21/120 = 7/40
Answer:
Step-by-step explanation:
8)Volume of cylinder = πr²h= π*3*3*10 =90π cubic inches
Volume of cone = 1/3πr²h = π*3*3*5/3= 15π cubic inches
Volume of rocket = 90π + 15π = 105π cubic inches
9) Matt made an error. radius = diameter/2 = 15/2= 7.5 cm.Instead using 7.5 in volume formula, he used diameter.
Answer:
Step-by-step explanation:
1) First division has to be done.
2) After that multiplication has to be done.
30 ÷ 3 * 2 = 10 * 2
= 20