l. You have all the letters of the alphabet in a box You must select the lett sp

Question

l. You have all the letters of the alphabet in a box You must select the lett spell the word "DANGER" to display in front of a live wire. a. What is the probability of selecting just those letters as your first selections? b. What is the probability of selecting those letters in order as your selections? The outcomes of two variables are (Low, Medium, High) a (On, Off), respectively.An experiment is conducted in whic the outcomes of each of the two variables are observed. probabilities associated with each of the six possible od come pairs are given in the accompanying two-way table. High Medium On .50 10 Off .07 2. From the table above, determine the probability of a. Off b. Medium c. On or high d. Off or low e. Are level (.e., low, medium and high) and position (i.e., on or o mutually exclusive? Explain. 3. From the table above, determine the probability of: a. On an high b. Off and low c. Are level (i.e., low, medium and high) and position (i.e., on or o independent? Explain. 4. From the table above, determine the probability of a. On given high b. High given on Tracking missiles with satellite imagery. The US govern- ment has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles (Chance, Summer 2005). The probability that an intruding object (e.g.. a missile) will be detected on a flight track by SBIRS is 8. Consider a sample of 20 simulated tracks, each with an in rudinp abisct. Let x equal the number of these tracks

Explanation / Answer

Answer to question# 2)

Part a)

P(off) = 0.25 +0.07 +0.03 = 0.35

.

Part b)

P(medium) = 0.10+0.07 = 0.17

.

Part c)

P(on or high) = P(on) + P(high) - P(on AND high)

P(on) = 0.50+0.10+0.05 = 0.65

P(high) = 0.05+0.03 = 0.08

P(on AND high) = 0.05

Thus on plugging these vlaues in the formula we get:

P(On or High) = 0.65 + 0.08 - 0.05 = 0.68

P(on OR high) = 0.68

.

Part d)

P(off or Low) = P(off) + P(low) - P(off AND low)

P(off) = 0.25+0.07+0.03 = 0.35

P(low) = 0.50+0.25 = 0.75

P(off AND low) = 0.25

.

On plugging these vlaues we get:

P(off OR low) = 0.35+0.75-0.25 = 0.85

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.