Answer:
P(X > 2) = 0.6687
P(2 < X < 5) = 0.4821
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = sample size = 10
x = Number of successes required = more than 2, then between 2 and 5.
p = probability of success = probability that a college student will say they use credit cards because of the rewards program = 0.32
q = probability of failure = 1 - 0.32 = 0.68
For more than 2
a) P(X > 2) = 1 - P(X ≤ 2) = 1 - [P(X=0) + P(X=1) + P(X=2)] = 1 - [0.0211392282 + 0.09947872095 + 0.21066082083] = 0.66872123002 = 0.6687
For between 2 and 5 exclusive
P(2 < X < 5) = P(X=3) + P(X=4) = 0.26435867712 + 0.21770714587 = 0.482065823 = 0.4821
Hope this Helps!!!
Answer:
x= 6
Step-by-step explanation:
3(x + 4) = 2x + 4x - 6
3x + 12 = 2x + 4x - 6
3x + 12 = 6x - 6
-3x = -18
x= 6
hope it helps
if it helps you, pls give me the brainliest.
Answer:
(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰
Step-by-step explanation:
(4x)¯² (4x)³ (4x)⁹
The above expression can be simplified as follow:
Recall:
When we have two or more index number with same base and a multiplication sign in between them, we easily simply by adding the index number together while keeping the base constant. This is illustrated below:
a^m x a^n = a^(m + n)
Therefore,
(4x)¯² (4x)³ (4x)⁹ = (4x)^(-2 + 3 +9)
(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰
when x= -4 ,f(x)=2
Step-by-step explanation:
the coordinate in which f(x) i.e y=2 is (-4,2)
thus x= -4
Answer:
P(0.8< p
^
<0.9)≈0.87
Step-by-step explanation:
trust me