Complete the following exercises from your textbook
Elementary Statistics—Picturing the World (and post them on the blog):
1. Section 4.1, Exercise #12, p. 179
2. Section 4.1, Exercise #24, p. 181
3. Section 4.2, Exercise #8, p. 194
4. Section 4.2, Exercise #10, p. 194
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Jace, Justin, Alex
ReplyDelete#12: Continuous. The time spent trying to get to work can be anywhere from 0 to 24 hours, x is a continuing random variable. We can represent the values on a number line but cannot list all the possible values (such as 0,3,6,9,12,15,18,21,24 and everything in between).
#24: This is not a probability distribution because each of the given values sum is greater than 1 (1.201).
#8: This is a binomial experiment because it contains more than two possible outcomes, in this case; 6 balls from 1-40 that contain a pass or failure condition.
#10: N = 76, P=0.8, Q=0.2
Mean: 76 * 0.8 = 60.8
Variance: 76 * 0.8 * 0.2 = 12.16
Standard Deviation: Sq Root of 12.16 = 3.487
Rob Shaner
ReplyDeleteScott Phillips
Gemma Meyers
1. Section 4.1, Exercise #12, p. 179
Answer:
x is continuous because it can take any amount of time to arrive at work
2. Section 4.1, Exercise #24, p. 181
Answer:
The sum of all probabilities is greater than 1, thus it is not a probability distribution.
3. Section 4.2, Exercise #8, p. 194
Answer:
No, because it isn’t repeated for a fixed number of trials where each trail is independent of the other trials.
4. Section 4.2, Exercise #10, p. 194
Answer:
60.8
12.16
3.487119
Posted by Bryan S., Sheila W., Karolyn M., and Nick N.
ReplyDelete1) It would be continuous, based on the fact there are too many variables that could increase or decrease the amount of time taken. Also there could be numerous variables effecting the outcome.
2) No, it is not a probability distrobution. The sum of all probabilities does not equal 1.
3) The lottery is not a binomial experiment. There is not a fixed number of trials the lottery is non-stop, it continues whether someone wins or not, the only change is the amount of the prize. The probability of succss changes with the increse of the jackpot amount. As the jackpot increases the number of players increases in turn changing the probability of winning.
4)q = 1 - 0.8
q = 0.2
Mean = 76(0.8)
=60.8
Variance = 76(0.8)(0.2)
76(0.16)
12.16
Standard = square root of 76(0.8)(0.2)
square root of 76(0.16)
square root of 12.16
equals 3.4
Tonya Cox
ReplyDeleteRick o’neil
1. Continuous because it can take different lengths of time to get to work
2. With a sum of 1.201 the value isn’t between 0-1 witch makes it not a probability distribution.
3. Yes, this is a binomial experiment because having 6 balls ranging from 1-40; there are more than two outcomes.
4. n = 76, p = 0.8, q = 0.2
Mean = 76*0.8=60.8
Variance = 76*0.8*0.2=12.16
Standard Deviation = √76*0.8*0.2 = 3.487
Rick Robinson, John Drake, Mel Bailey, Evan Dossey
ReplyDelete1. Section 4.1, Exercise #12, p. 179
discrete
2. Section 4.1, Exercise #24, p. 181
It is not a probability distribution because the sum of all probabilities are not equal to 1.
3. Section 4.2, Exercise #8, p. 194
It is not a binomial experiment because it doesn't meet the requirements of a binomial experiment because the random variable does not represent the number of successful trials. Also there are more than two possible outcomes for each trial.
4. Section 4.2, Exercise #10, p. 194
mean=60.8
varience= 12.16
Standard Deviation=3.49