Lie Detector: Suppose a lie detector allows 30% of all lies to go undetected.
(a) If you take the test and tell 10 lies, what is the
probability of having 7 or more go undetected? Round your
answer to 3 decimal places.
(b) Would 7 undetected lies be an unusually high number* of
undetected lies? Use the criteria that a number (x) is
unusually large if P(x or more)
≤ 0.05.
Yes, that is an unusually high number of undetected lies. No, that is not an unusually high number of undetected lies.
...............................................
*Unusually low and high number of successes:
x successes among n trials is an
unusually high number of successes if
P(x or more) ≤ 0.05.
x successes among n trials is an
unusually low number of successes if
P(x or fewer) ≤ 0.05.
Lie Detector: Suppose a lie detector allows 30% of all lies to go undetected. (a) If...
Chapter 5: Problem Set 10 Calenlate the following binomial probabilities by either using one of the binomial probahility tables, or calculating the probability with a calculator or software using the formmla n Piain,p) ald where g-1-P (a) Pr-4,n-15,p2) (b) P(z-9,n-12,p 75) (e) P(r>6,n-10, p 8) (d) P(z<20, n-20,p- 9) 11. Cards: Suppose you draw a card from a deck (with replacement) 10 times in a row What is the probability that you get exactly 4 hearts? 0- 12. Lie Détector:...
X 0 1 2 3 5 6 7 9 10 11 12 Assume that 12 jurors are selected from a population in which 80% of the people are Mexican-Americans. The random variable x is the number of Mexican-Americans on the jury P(x) 0.000 0.000 0.000 0.000 0.001 0.003 0.0160.053 0.133 0.236 0.283 0.2060.069 a. Find the probability of exactly 5 Mexican-Americans among 12 jurors. P(5)-( b. Find the probability of 5 or fewer Mexican-Americans among 12 jurors. The probability of...
Question Help х Assume that 12 jurors are selected from a population in which 80% of the people are Mexican-Americans. The random variable x is the number of Mexican-Americans on the jury. 0 1 2 3 4 5 6 7 8 9 10 11 12 P(x) 0.000 0.000 0.000 0.000 0.001 0.003 0.0160.0530 1330 236 0.283 0.206 0.069 a. Find the probability of exactly 8 Mexican-Americans among 12 jurors. P(8) = 133 b. Find the probability of 8 or fewer...
Ti 10. Placuice Lidl 2 (FW 4 thu nwb) This Question: 1 pt 11 of 13 (8 complete) X Assume that 12 jurors are selected from a population in which 50% of the people are Meccan Americans. The random variable x is the number of Mexican Americans on the jury 0 1 2 3 4 5 6 78 9 10 11 12 P(x) 0.000 0.003 0.0160 054 0 1210 1930 2260 1930.1210.0540.0160.003 0.000 2. Find the probability of exactly 4...
A Gallup poll of 1,236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Suppose 30 people are selected at random from among the 1,236 were polled, and further suppose we want to calculate the probability that at least 2 of the 30 believe it is bad luck to walk under a ladder. Given that the 30 subjects were selected without replacement, those selections are not independent. Can the probability be...
Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 8 of these refrigerators have a defective compressor and the other 4 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 7 examined that have a defective compressor. (a) Calculate P(X = 5) and PCX S 5). (Round your answers to...
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Number of Girls x P(x) 0 . 0.002 1 0.024 2 0.118 3 0.199 4 0.314 5 0.199 6 0.118 7 0.024 8 0.002 a. Find the probability of getting exactly 6 girls in 8 births. ______ (Type an integer or a decimal. Do not round.)...
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. LOADING... Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. nothing (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. nothing (Type an...
5. -9.09 points DevoreStat8 3.E.069 My Notes Ask Your Each of 12 efrigerators of a certain type has been returned to distributor because of an audible, high-pitched, oscillating noise when the efrigerators are running. Suppose that 7 of these efrigerators ha defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor (a) Calculate P(X4) and PX S...
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