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Statistics Assignment

Decent Essays

Week 4 Exercises
Chapter 5 – Section 1. Question 5
To perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one or two separate steps, and the second procedure requires either one, two, or three steps.
a. List the experimental outcomes associated with performing the blood analysis.
Answer: There are two procedures that a lab technician must perform. The first procedure requires either one or two separate steps, which could be named as x1 and x2. The second procedure requires either one, two or three steps, which could be named as y1, y2 and y3. The experimental outcomes associated with performing the blood analysis from 1st procedure (x1,x2) and 2nd procedure: (y1,y2,y3): …show more content…

What is the probability that it takes at least two sessions to gain the patient’s trust?
Answer: The probability that is takes at least two sessions to gain the patient’s trust is 0.83, because
Probability x≥2=f2+f3=26+36=0.8333=0.83
Chapter 5 – Section 3. Question 17
a. Let x be a random variable indicating the number of times a student takes the SAT. Show the probability distribution for this random variable.
Answer: The probability distribution: Number of Times (x) | Number of Students | f(x) | 1 | 721,769 | 0.4752 | 2 | 601,325 | 0.3959 | 3 | 166,736 | 0.1098 | 4 | 22,299 | 0.0147 | 5 | 6,730 | 0.0044 | | 1,518,859 | 1.0000 |

b. What is the probability that a student takes the SAT more than one time?
Answer: The probability that a student takes the SAT more then one time is 0.5248, because
Probabilityx>1=f2+f3+f4+f5=0.3959+0.1098+0.0147+0.0044=0.5248
c. What is the probability that a student takes the SAT three or more times?
Answer: The probability that a student takes the SAT three or more times is 0.1289, because
Probabilityx≥3=f3+f4+f5=0.1098+0.0147+0.0044=0.1289
d. What is the expected value of the number of times the SAT is taken? What is your interpretation of the expected value?
Answer: The expected value of the number of times the SAT is taken is 1.6772, because
Ex=μ=Σxfx
x | f(x) | xf(x) | 1 | 0.4752 | 0.4752 | 2 | 0.3959 | 0.7918 | 3 | 0.1098 | 0.3293 | 4 | 0.0147 |

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