Answer: a) P(x=0) = 0.0907, b) P(x≥10) = 0.7986
Step-by-step explanation: the probability mass function of a possion probability distribution is given as
P(x=r) = (e^-λ)×(λ^r) /r!
Where λ = fixed rate at which the event is occurring and each event is independent of each other = 2.4
a) P(x= at least one) = P(x≥1)
P(x≥1) = 1 - P(x<1)
But P(x<1) = P(x=0) { we can not continue to negative values because our values of x can only take positive values of integer}
Hence, P(x≥1) = 1 - P(x=0)
P(x=0) = e^-2.4 * 2.4^0/(0!)
P(x=0) = 0.0907×1/1
P(x=0) = 0.0907
b) if the average number of hits in 1 minutes is 2.4 then for 5 minutes we have 2.4×5 = 12.
Hence λ = 12.
P(x= at least 10) =P(x≥10) = 1 - P(x≤9)
P(x≤9) will be gotten using a cumulative possion probability distribution table whose area is to the left of the distribution.
From the table P(x≤9) = 0.2014.
P(x≥10) = 1 - 0.20140
P(x≥10) = 0.7986
Given that,
Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.
For peanut, the cost is ratio is
For beef, the ratio is
If we take cross product of these items,
It implies, that the sale is in true proportion. From the cross product, we find that it is equal.
Answer:
0
Step-by-step explanation:
Because
Answer:
C
Step-by-step explanation:
A closed circle means inclusive, and -2 is included in values that would make the equation true. Then you just have to test another number greater than and less than -2 to see which way the arrow should point.
-3(-3) + 1 < 7
9 + 1 < 7
10 < 7 FALSE
-3(0) + 1 < 7
1 < 7 TRUE
All values (including -2) will make this equation true
Answer:
x = 6
y = -6
Step-by-step explanation:
By adding both equations :-
=》-4x -2y + 4x + 8y = -12 + (-24)
=》-4x + 4x + 8y - 2y = -12 - 24
=》6y = -36
=》y = -36 ÷ 6
=》y = -6
putting the value of y in equation 2
=》4x + 8y = -24
=》4x + (8 × -6) = -24
=》4x - 48= -24
=》4x = 48 - 24
=》x = 24 / 4
=》x = 6
