4.Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six treated and six untreated seeds, was conducted prior to a large-scale experiment to explore how much fungicide to apply. The seeds were planted in wet soil, and the number of emerging plants were counted. If the solution was not effective and five plants actually sprouted, compute the following probabilities. (Round your answers to four decimal places.)
(a)
What is the probability that all five plants emerged from treated seeds?
(b)
What is the probability that four or fewer emerged from treated seeds?
(c)
What is the probability that at least one emerged from untreated seeds?
5.
Specifications call for a thermistor to test out at between 9,000 and 10,000 ohms at 25° Celsius. Ten thermistors are available, and three of these are to be selected for use. Let Y denote the number among the three that do not conform to specifications. Find the probability distributions for Y (in tabular form) under the following conditions. (Enter your probabilities as fractions.)
(a)
Two thermistors do not conform to specifications among the ten that are available.
y | 0 | 1 | 2 |
---|---|---|---|
p(y) |
(b)
Four thermistors do not conform to specifications among the ten that are available.
y | 0 | 1 | 2 | 3 |
---|---|---|---|---|
p(y) |
  GivenThere are 6 breated and 6 untreatedTotal 12 seeds5 plants can be sprouted in 12c_(5) waysa) P (allsfrom troated seods) =^(6)c_(5)//1R_(c_(5))=0.0076b) P (fow or fewer from breated seeds){:[=1-P" (all "5" from treated seeds) "],[=1-0.0076],[=0.9924]:}C) P( At least one from untroated) =1-P (none from untreates){:[=1-0.0076],[=0.9924]:}​​​​​​ Given 2 theimistars donot comform bospeafication amoung t ... See the full answer