Answer:
3 71/100 = 3.71
Step-by-step explanation:
To convert this mixed number (fraction) to a decimal just follow these two steps:
Step 1: divide numerator (71) by the denominator (100): 71 ÷ 100 = 0.71
Step 2: add this value to the the integer part: 3 + 0.71 = 3.71. So,
3 71/100 = 3.71
Answer:
Lets assume that 1200 births are randomly selected and exactly 595 of the births are girls.
In percentage this is : 
This is approx 50%. We can say that almost random 50% are girls.
So, It is unlikely because the probability of this particular outcome is very small, considering all of the other possible outcomes.
Part B: It is not unusual because 595 is about the number of girls expected.
1. 5
2. 5
3. 10
4. 25
5. -11
6.1/4
7. 1
8. -1
Answer:
Step-by-step explanation:
Answer:
A)0.86
B)0.99
C)6.047E-13
Step-by-step explanation:
Since p = 0.01 and q= 0.99
Number of event n = 15
Using binomial expansion
A) Probability (No samples are mutated) = 15C0 (p)^0 * (q)^15
= 1*(0.01)^0*(0.99)^15 = 0.86
B)Probability (At most one sample is mutated) = 15C0 * p^0 *q^15 + 15C1 * p^1 * q^14 = 1*(0.01)^0*(0.99)^15 + 15C1 * 0.01 * 0.99^14 = 0.86 + 15*0.01*0.8687 = 0.86 + 0.13 = 0.99
C) Probability (More than half the samples are mutated) = 15C8* 0.01^8 * 0.99^7 + 15C9* 0.01^9 * 0.99^6 +15C10* 0.01^10 *0.99^5 + 15C11 * 0.01^11 * 0.99^4 + 15C12 * 0.01^12 * 0.99^3 + 15C13 * 0.01^13 * 0.99^ 2 + 15C14 * 0.01^14 * 0.99^1 + 15C15 * 0.01^15 * 0.99^0
Probability (More than half the samples are mutated) = 6E-13 + 4.71E-15 + 2.86E-17 + 1.31E-19 + 4.41E-22 + 1.03E-24 + 1.49E-27 + 1E-30 = 6.047E-13
