A loan company knows that 5% of its loans will be delinquent. Of the company’s 400 loan accounts, what is the probability
1 answer:
Answer:
Step-by-step explanation:
Given that a loan company knows that 5% of its loans will be delinquent.
since each loan is independent of the other p , probability for any random loan to be delinquent is constant 0.05
X no of delinquent loan accounts is binomial with n =400 and p = 0.05
Since n is very large and also np = 20 and nq >5 we can approximate to normal
Mean = np = 20 : Variance = npq = 19
Std dev = 4.36
X is N(1, 4.36)
With continuity correcton we calculate the prob
a) that exactly 25 accounts will be delinquent?
=
b) that fewer than 30 accounts will be delinquent?
=P(X<29.5)
= 0.9854
c) more than 24 accounts will be delinquent
=P(X>24,5)
=0.1509
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Answer:
c = 60.65 cm
Step-by-step explanation:
Given that,
The two sides of a triangle are 33 cm and 37 cm.
The angle between these two sides is 120°.
We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,
a = 33 cm, b = 37 cm and C is 120°
So,
So, the length of the third side of the triangle is 60.65 cm.
proportional relationships have constant ratios.
the graph is a line, so it is a proportional relationship. (A)
the function is in the form y=kx (proportional function) (C)
Find the ratio of the tables: (B)
D
All represent a proportional relationship