In a production line, 1000 Ω resistors with 10% tolerance are produced. Resistance value X is...

In a production line, 1000 Ω resistors with 10% tolerance are produced. Resistance value X is the gauss random variable with an expected value of 1000 and 2500 variations. Find the probability that a randomly selected resistance will be outside acceptable limits.

Solutions

Expert Solution

Let, define a random variable X that represent resistance of resistors.

The random variable X is normally distributed with mean 1000 and variance 2500.

Here, the resistors with 10% tolerance are produced.

So, the acceptable region is

Find the probability that a randomly selected resistance will be outside acceptable limits.

i.e, P(resistance outside acceptable limits)

The probability is 0.0455003

orchestra answered 1 year ago

Next > < Previous

Related Solutions

When resistors 1 and 2 are connected in series, the equivalent resistance is 14.4 Ω. When...

When resistors 1 and 2 are connected in series, the equivalent resistance is 14.4 Ω. When they are connected in parallel, the equivalent resistance is 2.69 Ω. What are (a) the smaller resistance and (b) the larger resistance of these two resistors?

When resistors 1 and 2 are connected in series, the equivalent resistance is 22.2 Ω. When...

When resistors 1 and 2 are connected in series, the equivalent resistance is 22.2 Ω. When they are connected in parallel, the equivalent resistance is 4.39 Ω. What are (a) the smaller resistance and (b) the larger resistance of these two resistors?

A 3-phase line has a resistance of 9 Ω/phase and a reactance of 23 Ω/phase. The...

A 3-phase line has a resistance of 9 Ω/phase and a reactance of 23 Ω/phase. The load at the receiving end is 130 MW at 0.8 p. f. lagging. Find the capacity of the synchronous condenser required to be connected at the receiving end to maintain the voltage at both ends of the transmission line at 132 KV.

Three resistors have values R1= 47Ω, R2 = 100Ω, and R3 = 10 Ω. There is...

Three resistors have values R1= 47Ω, R2 = 100Ω, and R3 = 10 Ω. There is a 1.5V battery. The battery and three resistors are all connected in various circuits described below. Calculate the equivalent (or total) resistance, and any currents for each of the following configurations: A) Series circuit B) Parallel circuit C) Series-parallel combination where R1 and R2 are in parallel and that combination is in series with R3.

Three resistors have values R1= 47Ω, R2 = 100Ω, and R3 = 10 Ω. There is...

Three resistors have values R1= 47Ω, R2 = 100Ω, and R3 = 10 Ω. There is a 5V battery. The battery and three resistors are all connected in various circuits described below. Calculate the equivalent (or total) resistance, and any currents for each of the following configurations: a. series circuit b. parallel circuit c. Series-parallel combination where R1 and R2 are in parallel and that combination is in series with R3.

You have three 1.3 kΩ resistors. A.) What is the value of the equivalent resistance for...

You have three 1.3 kΩ resistors. A.) What is the value of the equivalent resistance for the three resistors connected in series? B.) What is the value of the equivalent resistance for a combination of two resistors in series and the other resistor connected in parallel to this combination? C.) What is the value of the equivalent resistance for a combination of two resistors in parallel and the other resistor connected in series to this combination? D.) What is the...

Three resistors are connected in series across a battery. The value of each resistance and its...

Three resistors are connected in series across a battery. The value of each resistance and its maximum power rating are as follows: 6.6Ω and 17.2 W, 34.6Ω and 12.0 W, and 20.0Ω and 12.6 W. (a) What is the greatest voltage that the battery can have without one of the resistors burning up? (b) How much power does the battery deliver to the circuit in (a)?

A sample of 64 resistors are taken from a production line and are found to have...

A sample of 64 resistors are taken from a production line and are found to have a sample mean of 998 Ohms. The population distribution for the resistances is unknown but the population standard deviation is known to be 10 Ohms. (a) Find a 97% confidence interval for the population mean. The tabulated value is and obtained from table. Lower limit is and the upper limit is . (b) Answer the following two questions by writing either ”narrower” or ”wider” in the blank...

(a) A steel power transmission line has a resistance of 0.0430 Ω/km. What is its mass...

(a) A steel power transmission line has a resistance of 0.0430 Ω/km. What is its mass per kilometer (in kg/km)? (Assume the density of steel is 7.8 ✕ 103 kg/m3.) ________ kg/km (b) What is the mass per kilometer (in kg/km) of an iron line having the same resistance? (Assume the density of iron is 7.8 ✕ 103 kg/m3.) _______ kg/km

The resistance of a very fine aluminum wire with a 10 μm × 10 μm square cross section is 1200 Ω

1. The resistance of a very fine aluminum wire with a 10 μm × 10 μm square cross section is 1200 Ω . A 1200 Ω resistor is made by wrapping this wire in a spiral around a 3.4-mm-diameter glass core. Part A: How many turns of wire are needed? Express your answer using two significant figures. 2.The starter motor of a car engine draws a current of 180 A from the battery. The copper wire to the motor...

Subjects