Binomial
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n=10)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (defective/normal)3. Probability is known and remains constant throughout the trials (p=5%)4. All trials are random and independent of the others (assumed from context)The number of successes, x, is then given by
where
Substituting values, p=0.05, n=10, X=exactly 1
for X=1 (defective out of n)
P(X=1)=C(10,1)0.05^1*(1-0.05)^(10-1)
=10!/(1!9!)*0.05*0.95^9
=10*0.05*0.0630249
=0.315125 (to 6 places of decimal)
Answer:
$7,925.53
Step-by-step explanation:
We'll have to use the compound interest formula: A = P(1 + r/n)ⁿˣ
A = final amount (?)
P = starting amount (5700)
r = rate
n = times applied (12 since its monthly and there 12 months in a year)
x = years (12)
A = 5700(1 + 0.0275/12)¹⁴⁴
A = 7925.525498629932
Answer:
P = 2x + 150
Step-by-step explanation:
P = 2x + 150
The answers are
1: False
2: True
3: True
4: False